Question

Consider the following pair of equations:

Answer 1

Answer:

(3,2)

Step-by-step explanation:

y = -2x + 8

y = x-1

Substitute x-1 for y in the equation y = -2x + 8.  x-1 = -2x + 8

Use the Additive Property to move the

constant terms to one side of the equation.      x-1 = -2x + 8

                                                                                +1           +1

                                                                                  x = -2x + 9

Now do the same to the variable terms.              +2x +2x

                                                                                 3x = 9

Divide both sides of the equation by the

constant in the variable term.                               ÷3 = ÷3

                                                                                   x = 3

To find y, simply substitute the value of x into

one of the original equations.                                 y = x-1

                                                                                   y = 3-1

Solve:                                                                         y = 2

The solution is (3, 2).

Answer 2

-2x+8 = x-1 substitute for one of the y

-8. -8 solve for x

-2x = x -9

+x =. +x

-1x = -9

/-1. =. /-1

x=9

y=-2(9)+8 now solve for y by putting x

y= 18 +8 in the one of the original

y= 26 equations.

(9,26)