Question

Solve the system by the substitution method. x-2y = -2 y = - 3x + 8

Answer 1

x-2y = -2

x-2(-3x+8)=-2

mutiply the bracket by -2

(-2)(-3x)=6x

(-2)(8)=-16

x+6x-16=-2

7x-16=-2

move -16 to the other side

sign changes from -16 to +16

7x-16+16=-2+16

7x= -2+16

7x= 14

divide both sides by 7

7x/7=14/7

x=2

Find y by using the substitution method

y=-3x+8

y=-3(2)+8

-6+8

=2

Answer:(2,2)