-2x+y=6 Y=-1/2x+1

Question

graph the system below and write its solution

Answer 1

-2x+y=6

y=-1/2x+1

substitute

-2x+(-1/2x+1)=6

-2x+(-1/2x)+1=6

-2 1/2x+1=6

-2 1/2x=6-1

-2 1/2x=5

(-5/2)x=5

multiply both sides by(-2/5)

(-2/5)(-5/2)x=(-2/5)(5)

x=-2

-2x+y=6

-2(-2)+y=6

4+y=6

y=6-4

y=2

(-2,2) is the solution