Question

Solve each system by substitution

Answer 1

y = 1

x = 5

Explanation:

• Add both equations up.

x - 4 - x + 2 = y + y

• Add/subtract like terms. (-x will be eliminated by +x)

2 = 2y

• Divide both sides by 2.

1 = y

To find the value of x replace y with 1 in the first equation.

1 = x - 4

• Add 4 to both sides.

5 = x

Answer 2

(3, - 1 )

Explanation:

y = x - 4 → (1)

y = - x + 2 → (2)

substitute y = x - 4 into (2)

x - 4 = - x + 2 ( add x to both sides )

2x - 4 = 2 ( add 4 to both sides )

2x = 6 ( divide both sides by 2 )

x = 3

substitute x = 3 into either of the 2 equations and solve for y

substituting into (1)

y = x - 4 = 3 - 4 = - 1

solution is (3, - 1 )