Question

Solve the system of equations by substitution. Enter the solution as an ordered pair.

If there is no solution, type: none

If there are infinitely many solutions, type: inf


`\left \{ {{2x+y=-2} \atop {3x-y=7}} \right.`

Answer 1

(1, -4)

Explanation:

Isolate the y-variable:

2x + y = -2

-2x -2x

y = -2x - 2

Substitute the y-variable:

3x - (-2x - 2) = 7

(Distribute)

3x + 2x +2 = 7

5x + 2 = 7

-2 -2

5x = 5

/5 /5

x = 1

Substitute with the x-variable found in the previous equation:

2(1) + y = -2

2+y = -2

-2 -2

y = -4

Ordered Pair:

(1, -4)