Question

Solve the system by the substitution method. 2x-y= -24 x+7y= 3

Answer 1

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