What is the solution to the system of equations? Use the substitution method. {y=-2x+53x-4y=2 Enter your answer in the boxes.

We have the following system:

y = - 2x + 5

3x-4y = 2

Substituting y in equation 2 we have:

3x-4 (-2x + 5) = 2

We clear x:

3x + 8x - 20 = 2

11x = 2 + 20

x = 22/11

x = 2

Then, we substitute x = 2 in equation 1:

y = - 2 (2) + 5

y = - 4 + 5

y = 1

Answer:

The solution to the system of equations is:

x = 2

y = 1