Linear Equation Solver

Linear Equation Solver In order to solve a Linear Equation in one variable of the type ax + b = 0 where a is not equal to 0 we distribute the terms within parenthesis and simplify both sides by collecting the like terms. Then we isolate all variables on one side and all the constants on the other side. We simplify and make the coefficient of the unknown variable 1. Example 1: Solve: 5 3 (5x + 2) = 4 (7- 3x) + 1 Solution: 5 3 (5x + 2) = 4 (7- 3x) + 1 5 15x 6 = 28 12x +1 [Distributing the terms within parenthesis] -15x -1 = -12x + 29 [On Simplifying the like terms we get] - 15x + 12x = 29 + 1 [Isolating the variable on one side and the constant on other side] (- 3)x = 30 [Divide both sides by -3 and we will get] x = -10 Example 2: The sum of two numbers is 90 and the greater number exceeds thrice the smaller by 14.Find the numbers. Solution: Let the smaller number be x. As the sum of the two numbers is 90, then the greater number will be 90 x. Thrice the smaller number will be 3x So the equation becomes: 90 x = 3x + 14 -x -3x = 14 90 [Isolating the variable on one side and the constant on other side] (-4)x = - 76 [Divide both sides by -4 and we will get] x = 19 Then the greater number will be 90 x = 90 19 = 71 Hence the two numbers are 19 and 71.

Solving Linear Equations With Fractions

Solving Linear Equations With Fractions There are many kinds of equations in algebra. Linear equations are the equations where the degree of the variable can be only one.There can be one or more than one variable in a linear equation. A linear equation also consist of coefficients and constants. The numbers can be many numbers in a linear equations including fractions. A fraction is a number which is written in p/q form. Here p,q are integers and the condition is q cannot be equal to zero. Different mathematical operations can be used to simplify and solve a given fraction like addition, subtraction, multiplication and division. Example 1: Solve the linear equation 5x 7/2 = 3/2? Solution: Given equation is 5x 7/2 = 3/2. Here the unknown variable which needs to be solved for is x. Step 1: Add 7/2 on both sides of the equation. This gives 5x 7/2 + 7/2 = 3/2 + 7/2; 5x = (3+7)/2; 5x = 10/2. Divide both sides of the equation by 5; 5x/5 = 10/10 Hence the solution is x = 1. Example 2: Solve the linear equation 7x 10/3 = 4/3? Solution: Given equation is 7x 10/3 = 4/3. Here the unknown variable which needs to be solved for is x. Step 1: Add 10/3 on both sides of the equation. This gives 7x 10/3 + 10/3 = 4/3 + 10/3; 7x = (14)/3; 7x = 14/3. Divide both sides of the equation by 7; 7x/7 = 14/21. Hence the solution is x = 2/3.

What is a Divisor Maths Online Tutoring

What is a Divisor Maths Online Tutoring There are 4 basic operations in math, and they are addition, subtraction, multiplication and division. In the process of division, a given number is divided by another number to get the answer. Here the number which is dividing the given number is known as the Divisor and with the help of the divisor; we get the answer out from the given number. If the divisor is a factor of the given number, then in its division the remainder produced is 0. Example 1: If the number 18 is being divided by the number 3, then which number is called as the divisor? Calculate the answer. Here 18 is being divided by 3, and this can also be written in the fraction form as: 18/3. Here the number placed on the top (or in the numerator) is 18, and the number placed in the bottom (or in the denominator) is 3. Since 3is dividing 18, therefore, the number 3 is called as the divisor. Now dividing 18/3 = 6 is the answer! Example 2: : If the number 20 is being divided by the number 4, then which number is the divisor? Calculate the answer. Here 20 is being divided by 4, and this can also be written in the fraction form as: 20/4. Here the number placed on the top (or in the numerator) is 20, and the number placed in the bottom (or in the denominator) is 4. Since 4 is dividing 20, therefore, the number 4 is the divisor. Now dividing 20/4 = 5 is the answer!

Past Tense Spanish Preterite Conjugations Verb Endings (Charts)

Past Tense Spanish Preterite Conjugations Verb Endings (Charts) Sign up successful How to Conjugate Verbs in the Spanish Preterite Its important to note that Spanish has two types of past tenses: the preterite and the imperfect.  Here, well start with Spanish preterite conjugations and review the imperfect in a future post. The Spanish preterite tense is a way to express the past, and it breaks down verbs into five different endings. Keep reading to learn how to change a verb into its past tense form. Conjugating -AR  Verbs in the Spanish Preterite Here is an example using the Spanish verb mirar  (to watch). First, shave off the -ar ending. Then If you are referring to Yo  or ‘I,’ add the letter é to end the conjugated verb, forming miré. If you are referring to Tú  or ‘you,’ use the ending aste, to form miraste. If you are referring to él  or ella or ‘he or she,’ use the ending ó  to form miró. If you are referring to nosotros  or ‘we,’ use the ending amos  to form miramos. (This is the same as present tense conjugation!) If you are referring to ellos  or ‘they,’ use the ending aron, to form miraron. SEE ALSO: 46 Spanish Adjectives to Describe All Your Friends Conjugating -ER  Verbs in the Spanish Preterite Now let’s use  comer (to eat), as an example. First, shave off the -er ending. Next If you are referring to Yo  or ‘I, use  the ending í, (instead of é) to form comí. If you are referring to Tú  or ‘you,’ use the ending iste, to form comiste. If you are referring to él  or ella  or ‘he or she,’ use the ending ió, to form comió. If you are referring to nosotros  or ‘we,’ use the ending imos, to form comimos. If you are referring to ellos  or ‘they,’ use the ending ieron, to form comieron. Conjugating  -IR  Verbs in the Spanish Preterite Conjugating  -ir  verbs  shares the same rules as conjugating  -er verbs.  See the following chart as an example. Vivir (to live): Yo viví Tú viviste Él/Ella/Usted vivió Nosotros vivimos Ellas/Ellos/Ustedes vivieron SEE ALSO: 75 Most Helpful Spanish Cognates Ready for some Spanish past tense conjugation practice? Fill out the following chart: 12 Irregular Spanish Preterite Endings There are 12 core verbs in Spanish that have irregular past tense conjugations in the preterite tense. Fortunately their main endings are similar to what we’ve already learned in this post: é, iste, -ó, imos, isteis, ieron/*eron. Here are the 12 verbs, also known as the dirty dozen. Lets conjugate estar as an example: Estar (to be): Yo estuve Tú estuviste Él/Ella/Usted estuvo Nosotros estuvimos Ellas/Ellos/Ustedes estuvieron Now that you know how to conjugate Spanish past tense verbs, youre once step closer to becoming fluent in Spanish! As always, its a great idea to work with a  Spanish tutor  who can help you work through these concepts and provide extra guidance as needed. You can also take online Spanish classes to get even more practice conjugating verbs in everyday conversation. Buena suerte! Post Author: Jason N. Jason N. tutors in English and Spanish in Fairfax, CA.  He majored in Spanish at UC Davis, lived in Mexico for 3 years where he completed a Masters degree in Counseling, and studied Spanish Literature and Psychology at the University of Costa Rica. Learn more about Jason here!   Interested in Private Lessons? Search thousands of teachers for local and live, online lessons. Sign up for convenient, affordable private lessons today! Search for Your Teacher Photo by John Loo

Money and decimal place intuition

Money and decimal place intuition Decimal number representation is one of the very useful representation in mathematics. Decimal numbers is placing a decimal point in-between few digits. The decimal place value is given as the first number to the right of decimal point is the tenths place. The second number to the right of decimal point is the hundredth place and so on. The decimal representation is used to represent the money also. The digits before the decimal point is the dollars and the digits after the decimal point are the cents. Example 1: The school bag costs $ 12.56 and the price has been reduced by $ 4.32. Find the new price of the bag? Solution: The price of the school bag = $ 12.56. The amount of price reduced = $ 4.32. The new price of the school bag after reduction = $ 12.56 - $ 4.32 = $ 8.24 Hence the new price of the school bag = $ 8.24. Question: Multiple choice question (Pick the correct option.) Peter buys a candy for $ 3.12 and pencil for $ 1.23. How much did he send? a) $ 4.00 b) $ 4.35 c) $4.40 d) None of these. Correct answer: option b. Explanation: Amount of money spent on a candy = $ 3.12. Amount of money spent on the pencil = $ 1.23 The total amount spend on purchasing the items = $ 3.12 + $ 1.23 = $ 4.35 Hence, amount of money Peter spent on the items = $ 4.35.

5 Tips for How to Avoid Being a Well Paid Super-Doer versus a Manager

Introvert Whisperer / 5 Tips for How to Avoid Being a Well Paid “Super-Doer” versus a Manager 5 Tips for How to Avoid Being a Well Paid “Super-Doer” versus a Manager CLICK HERELet me emphasize that Self-Promotion doesn’t have to be obnoxious to be effective. But, if you don’t Self-Promote you, who will? If you ever want to get ahead, you have to learn how to Self-Promote. I want to help you accelerate your career by connecting you with your Free Instant Access to my video that shows you simple, yet effective ways to Self-Promote. Start watching now: Brought to you by Dorothy Tannahill-Moran â€" dedicated to unleash your professional potential. www.introvertwhisperer.com

Goal Setting How to Set Goals for Going Back to School

Goal Setting How to Set Goals for Going Back to School The start of the new year brings an excellent opportunity to set new goals. Whilst many of us set goals regularly, we don't always think about the practice of setting goals effectively. We decided to take a look at the best ways you can set goals to ensure you can fulfil your goals successfully  this year!   Goal Setting It is important to start implementing goal setting at an early stage and as a parent, this could be a good time to reflect with your child on the previous year, and ask them what they have enjoyed or found difficult. This is an excellent way to encourage including your child's school curriculum into their goal setting and by doing so at an early stage in education helps encourage this behaviour. You can then try and agree some goals for the upcoming term! The Importance Benefits of Setting Goals Getting into the  practice of setting goals early encourages the opportunity for early wins. This can help to positively impact your child's self-belief by recognising their achievements through early life stages. This can also be applied outside of their education to help your child build their self confidence. There are many benefits of goal setting; providing motivation,   direction and focus your child.  These can then be applied children's decision making as helps build  purpose and for them take an active role in building their future. Steps to Successful Goal Setting There are several clear and simple ways to set your your students: Tailor a specific plan for each goal Make sure each goal is clear and measurable Stay on track by reflecting often on  each  goal Make revisions to the plan if you feel the are required Stay on track by reflecting often on each goal Celebrate small wins! Looking for more tips on getting prepped for the new school year? Top tutor Mark Maclaine has written a blog post with his  7 top tips  to make going back to school a little easier, from making an action plan to valuing student friendships!

English Vocabulary about Employment - Phrases You Need to Know

English Vocabulary about Employment - Phrases You Need to Know For many months now I have been reading articles about the so-called Gig economy  and jobs without really  knowing to what these articles were referring. If you are currently in the job market looking to change your job or in the process going through a job interview in an English speaking company this English vocabulary about employment might help you. The  Gig economy  concerns those jobs today in the internet age that are neither permanent  nor  secure  and where the contract is extremely flexible  if it exists at all. Such jobs would include people  working in McDonalds or people self-employed as delivery guys delivering your pizza or other take-away meal. The reports I have read suggest that in America over the next few years approximately 40% of  all jobs will be created in this Gig Economy.So instead of merely (just) being employed  or working, there is a very wide range of new words now  used to describe your employment. English Vocabulary about Employment TEMPORARY:  this refers to a limited period of time, approximately several weeks or months perhaps  covering for someone who is sick.PROJECT BASED:  Employed for a period of time until a project is completed and then you wait to see  what is offered or move on to the next project.FIXED TERM:  a period of work fixed by months or years. A two year term that is then re -negotiated.  They may well offer you an extension to the contract before the fixed period runs out.ZERO HOUR CONTRACT:  employed but no guarantee how many hours you will work each week. This is  typical of some jobs in McDonalds and other fast food chains. You might get 10 hours one week and  15 the next but this is at the discretion (choice) of the management.FREELANCE:  You do some work for someone and agree a fee or payment for the work done but you  work at your own pace and place and are not controlled by the company or individual you are  working for. A freelance journalist may write articles and stories for variou s newspapers and  networks and if they like the work they will pay for it but there is no commitment.OUTSOURCED:  A piece of work is needed. There are not the resources within a company to carry out  that work. It is given to somebody or person outside the company. This is referred to as outsourced. English Vocabulary about Employment - Infographic Enjoyed this infographic? Here’s what you can do next: FLEXITIME: flexible working hours, when you can alter your workday start and finish timesSHIFTWORK: a system in which   a working day is divided in set periods of time and different groups of workers perform their duties at different times of the day and night, for example, nurses, firefighters, etc.A DEAD END JOB: a job in which there is no chance of getting a promotion and build a successful career.BE SELF-EMPLOYED: not working for an employer but finding work for yourself or having your own businessWORK EXPERIENCE: a short period of time in which you a student temporarily works for an employer to gain experience, usually older pupils in schoolOVERTIME: extra time that your work after your usual working hours. Some companies still pay overtime but it is becoming a rarity for employees in the UKWORKING CONDITIONS: things that will affect the quality of your work (working hours, quality of your working space, sick pay, etc)EMPLOYEE ROSTER: a schedule with  a list of  employees, and a ssociated working times and/or responsibilities for a given time period, for example, week, month or seasonSKELETON STAFF: a minimum number of employees required to work in a company on days when most staff do not work, for example, Sundays or public holidays