Answer:
x=−4 and y=−4
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