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