Answer :
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
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
[tex]7x-6y=-1 \ \ \ |\times (-2) \\
5x-4y=1 \ \ \ |\times 3 \\ \\
-14x+12y=2 \\
\underline{15x-12y=3 \ \ \ } \\
15x-14x=2+3 \\
x=5 \\ \\
5x-4y=1 \\
5 \times 5-4y=1 \\
25-4y=1 \\
-4y=1-25 \\
-4y=-24 \\
y=\frac{-24}{-4} \\
y=6 \\ \\
\boxed{(x,y)=(5,6)}[/tex]