4x-2y=14

y=1/2x-1

Solve the system of linear equations by substitution. Check your answer.

4x-2 (1/2x-1) = 14

4x-x+2=14. 1=1/2 (4) - 1

3x+2=14. 1=2-1

3x=12. 1=1

X=4

Y=1/2 (4) - 1

Y=2-1 Y=1

4x - 2y = 14

y = 0.5x - 1

Get just one variable on one side for both equations.

4x - 2y = 14 ⇒ 4x = 2y + 14 ⇒ 4x - 14 = 2y

y = 0.5x - 1 ⇒ x - 2 = 2y

Use the transitive property and then solve for x.

x-2 = 4x-14

12 = 3x

x = 4

Edit: Apprently I didn't use substitution. Oops! Sorry ...