Answer:
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)
Answer:
x=−4 and y=−4