Solve the system by the substitution method.

2x-y = - 24

x+7y = 3

2x - y = - 24

x + 7y = 3

Solve one equation for a variable and plug the resulting value into the second equation.

x + 7y = 3 Subtract 7y from both sides

x = - 7y + 3

Now, plug that x-value into the x of the first equation.

2x - y = - 24 Plug in the x-value

2 (-7y + 3) - y = 24 Use the Distributive Property

-14y + 6 - y = - 24 Combine like terms (-14y and - y)

-15y + 6 = - 24 Subtract 6 from both sides

-15y = - 30 Divide both sides by 15

y = 2

Next, plug the y-value back into the second equation.

x + 7y = 3 Plug in the y-value

x + 7 (2) = 3 Multiply

x + 14 = 3 Subtract 14 from both sides

x = - 11

y = 2 and x = - 11