Question

[6.03] What is the value of the y variable in the solution to the following system of equations?
3x - 6y = 12
-2x + 3y = 6

-14

24

14

-24

Answer 1

Hint:

multiply everything in the second equation by 2 to get


3x - 6y = 12
-4x + 6y = 12


then the equations add to get


3x - 6y = 12
-4x + 6y = 12
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-1x+0y = 24


so -x = 24 ---> x = ???

then you use this to find y

Answer 2

x= -24?

Answer 3

now that you know x, you can find y

Answer 4

so pick any equation, say the first one, then plug in x = -24

3x - 6y = 12

3(-24) - 6y = 12

-72 - 6y = 12

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...
...

y = ??

Answer 5

-14?

Answer 6

perfect

Answer 7

thanks!

Answer 8

yw