Solve the system of equations using substitution - 3x + 2y = 12 x = 2y - 8

(-2, 3)

Step-by-step explanation:

Given the system of equations:

-3x + 2y = 12

x = 2y - 8

You can 'substitute' the expression '2y - 8' for the value of 'x' in the first equation and solve for 'y':

-3 (2y - 8) + 2y = 12

Distribute: - 6y + 24 + 2y = 12

Combine like terms: - 4y + 24 = 12

Subtract 24 from both sides: - 4y + 24 - 24 = 12 - 24 or - 4y = - 12

Divide both sides by - 4: - 4y/-4 = - 12/-4 or y = 3

Use y = 3 to solve for 'x':

x = 2 (3) - 8 or 6 - 8

x = - 2

(-2, 3)