Question

what is the value of y in the solution to the following system of equations?
5x-3y=-3
2x-6y=-6

Answer 1

Solve for y in the first equation:
-3y=-3-5x
y=1+(5/3)x

Now that you have this value of y in terms of x, you can replace the y term in the second equation with this value so that:

2x-6(1+(5/3)x)=-6

We can then simplify and solve for x:

2x-6+10x=-6
12x-6=-6
12x=0
x=0

Plugging this value of x into any of the two equations:
5(0)-3y=-3
-3y=-3
y=1