What is the solution to the system of equations? Use the substitution method. {y=-2x+5 {3x-4y=2 Enter your answer in the boxes.

1. You have the following equations:

y=-2x+5 (i)

3x-4y=2 (ii)

2. You must substitute the equation (i) into the equation (ii), as below:

3x-4y=2

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

3x+8x-20=2

11x-20=2

3. Now, you must clear the variable "x":

11x=2+20

x=22/11

x=2

4. You have the value of "x", so you can find the value of "y". When you substitute x=2 into the equation (i), you obtain:

y=-2x+5

y=-2 (2) + 5

y=-4+5

y=1

5. Therefore, the answer is:

x=2

y=1