Use substitution to find the solution

of this system of equations.

-2x + y=-5

2y + 3x = 4

x = 2 y = - 1 or (2,-1)

Step-by-step explanation:

-2x + y = - 5

Moved - 2x to the other side

y = 2x - 5

2y + 3x = 4

Substitute y with 2x - 5

2 (2x - 5) + 3x = 4

Distribute

4x - 10 + 3x = 4

Combine the terms

7x - 10 = 4

Move the constant to the other side

7x - 10 = 4

+10 + 10

7x = 14

Divide both side by 7

7x/7 = 14/7

x = 2

Back to - 2x + y = - 5

Substitute the x with 2

-2 (2) + y = - 5

Combine the terms

-4 + y = - 5

Move the constant to the other side

-4 + y = - 5

+4 + 4

y = - 1