Solve the following using substitution

Y = 2X + 4

Y = 0.5x - 2

x=−4 and y=−4

Step-by-step explanation:

Let's solve your system by substitution.

y=2x+4;y=0.5x−2

Step: Solve y=2x+4for y:

y=2x+4

Step: Substitute 2x+4for y in y=0.5x−2:

y=0.5x−2

2x+4=0.5x−2

2x+4+−0.5x=0.5x−2+−0.5x(Add -0.5x to both sides)

1.5x+4=−2

1.5x+4+−4=−2+−4(Add -4 to both sides)

1.5x=−6

1.5x

1.5

=

−6

1.5

(Divide both sides by 1.5)

x=−4

Step: Substitute−4 fo rx in y=2x+4:

y=2x+4

y=(2)(−4)+4

y=−4(Simplify both sides of the equation)

x=−4 and y=−4