Question

7x-6y=-1 5x-4y=1solving for eliminatio

Answer 1

`7x-6y=-1 \ \ \ |* (-2) \\ 5x-4y=1 \ \ \ |* 3 \\ \\ -14x+12y=2 \\ \underline{15x-12y=3 \ \ \ } \\ 15x-14x=2+3 \\ x=5 \\ \\ 5x-4y=1 \\ 5 * 5-4y=1 \\ 25-4y=1 \\ -4y=1-25 \\ -4y=-24 \\ y=(-24)/(-4) \\ y=6 \\ \\ \boxed{(x,y)=(5,6)}`

Answer 2

multiply the first equation by 5 and 2nd by -7 and you get

35x-30y=-5
-35x+28y=-7

now you can cancel out the x's and you get

-2y=-12

so

y=6

now you can just plug y=6 into one of the original equations and you will see that x turns out to be 5

Hope thats okay