Which ordered pair is a solution to the system? x -2y= -2 3 x-2y= 2 a. (-2, -2) b. (-2, 2) c. (2, -2) d. (2, 2)

D:) (2,2,) is the Answer

Step-by-step explanation:

Solve the following system:

{X - 2 Y = -2 | (equation 1)

{3 X - 2 Y = 2 | (equation 2)

Swap equation 1 with equation 2:

{3 X - 2 Y = 2 | (equation 1)

{X - 2 Y = -2 | (equation 2)

Subtract 1/3 × (equation 1) from equation 2:

{3 X - 2 Y = 2 | (equation 1)

{0 X - (4 Y)/3 = (-8)/3 | (equation 2)

Multiply equation 2 by -3/4:

{3 X - 2 Y = 2 | (equation 1)

{0 X+Y = 2 | (equation 2)

Add 2 × (equation 2) to equation 1:

{3 X+0 Y = 6 | (equation 1)

{0 X+Y = 2 | (equation 2)

Divide equation 1 by 3:

{X+0 Y = 2 | (equation 1)

{0 X+Y = 2 | (equation 2)

Collect results:

 {X = 2 , Y = 2