Question

Which properties justify the steps taken to solve the system? {2x−4y=−6

Answer 1

For this case we have the following system of equations:
 2x-4y = -6
 3x + 2y = -1

 Step 1:
 We rewrite equation 2:
 2x-4y = -6
 6x + 4y = -2

 Step 2:
 We add both equations:
 8x = -8

 Step 3:
 We clear x:
 x = -8/8
 x = -1

 Step 4:
 We use any equation and we clear y:
 3x + 2y = -1
 2y = -1-3x
 y = -1 / 2 - (3/2) * x
 y = -1 / 2 - (3/2) * (- 1)
 y = -1 / 2 + (3/2)
 y = 2/2
 y = 1

 Answer:
 x = -1
 y = 1