Question

Please solve this problem.

Answer 1

x=-4, y=2

Explanation:

There are multiple ways to solve a system of equations, but since it requires you to solve using substitution, we are going to solve it using substitution.

Firstly, take any of the two equations and isolate any of the two variables, let's take the second equation and isolate y:

`-2x+y=10\\y=10+2x`

After that, substitute this y value (in terms of x's only) into the other equation to solve for x:

`5x-4y=-28\\5x-4(10+2x)=-28\\5x-40-8x=-28\\-3x=12\\x=-4`

And after finding the value of x, replace x into any of the two equations to solve for y:

`-2x+y=10\\-2(-4)+y=10\\8+y=10\\y=2`

And there are the solutions!