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Mathematics 8 Online
OpenStudy (anonymous):

can you walk me step by step through any elimination equation???

OpenStudy (anonymous):

help pleaseeee!!!!

OpenStudy (whpalmer4):

Sure, lay it on us!

OpenStudy (ryan123345):

Yup. waiting :3

OpenStudy (anonymous):

any equation i just need to understand it so i can do good. can u make one up?

OpenStudy (mathstudent55):

Let's say you are asked to solve the following system of equations using the elimination method: x + 3y = 40 3x - y = 30

OpenStudy (anonymous):

ok so i have to gat rid of one of the ys or xs right?

OpenStudy (mathstudent55):

To solve using the elimination method, you need to exactly what its name implies; you need to eliminate a variable. The way that is done is by adding the equations together.

OpenStudy (anonymous):

4x=2y =70

OpenStudy (mathstudent55):

Yes. As the equations are written, if you add them together, x + 3x = 4x. That does not eliminate x. Also, 3y + (-y ) = 2y. That does not eliminate y.

OpenStudy (anonymous):

opps 1st equal sign is soposed to be a+

OpenStudy (mathstudent55):

But notice that the y terms, 3y and -y already have opposite signs. If you could change the -y into -3y, then the addition would eliminate the y's.

OpenStudy (anonymous):

oh so you multiply the whole equation by 3?

OpenStudy (anonymous):

oh ok. then i solve by divding them i imput it into one of the equations right?

OpenStudy (mathstudent55):

What we do is we multiply the entire second equation by 3 to get the -3y we need. Let's rewrite the first equation followed by the second equation multiplied by 3 on both sides. Then we add the equations. x + 3y = 40 9x - 3y = 90 ------------- (add) 10x = 130

OpenStudy (mathstudent55):

Now you can easily solve for x: 10x = 130 x = 13 Now insert 13 for x into one of the original equations to get y. Let's use the first equation: x + 3y = 40 13 + 3y = 40 3y = 27 y = 9 Solution: x = 13, y = 9

OpenStudy (anonymous):

after you divide both sides by 10 you plug x into an equation and you get y?

OpenStudy (mathstudent55):

In this example, one equation had to multiplied by a factor to get a variable to get eliminated. In some cases, there is no need to multiply either equation, and in other cases, you need to multiply both equations by different factors to eliminate a variable.

OpenStudy (mathstudent55):

Yes, that's correct.

OpenStudy (anonymous):

ok :) thanks sooo much! i didnt understand it before so thnx! ill do good on the test :) thnx again

OpenStudy (anonymous):

thnx i have to go ill give u a medal!

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