Question

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.

Answer 1

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