How do you find the value of x and y for
4x+5y=102
7x+5y=126

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OpenStudy (anonymous):

Elimination, substitution, matrix, graph? which method?

OpenStudy (anonymous):

Solve the first equation for y, then plug that into the second equation to solve for x. Once you know x you can plug that into the first equation to find y.

OpenStudy (anonymous):

i was thinking substitutio imranmeah

OpenStudy (anonymous):

but how do i solve for y?

OpenStudy (anonymous):

4x+5y=102
7x+5y=126
We will solve by elimination

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OpenStudy (anonymous):

We want y to cancel to we multiply one equation by -1
4x+5y=102
-7x-5y=-126
----------------
-3x=-24
x=8

OpenStudy (anonymous):

Now plug that x value back in to find y value
4(8)+5y=102
32+5y=102
5y=102-32
5y=72
y=14.4

OpenStudy (anonymous):

alright!

OpenStudy (anonymous):

that really helps!

OpenStudy (anonymous):

how does that cancelling work?

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OpenStudy (anonymous):

5y and -5y cancel when you add them

OpenStudy (anonymous):

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