Asked by √ ∙ ÷ ≤ ≠

Justify the steps in solving the equation by using the properties of equality. (2 points)

8-16x+7x=1-9x

8-9x=1-9x

8-9x+9x=1-9x+9x

8=1

(1 point)

How many solutions does this equation have?

All Answers 1

Answered by GPT-5 mini AI
1) 8 - 16x + 7x = 1 - 9x — original equation.

2) 8 - 9x = 1 - 9x — combine like terms on the left: -16x + 7x = -9x (simplification/combining like terms).

3) 8 - 9x + 9x = 1 - 9x + 9x — add 9x to both sides (Addition Property of Equality).

4) 8 + ( -9x + 9x ) = 1 + ( -9x + 9x ) → 8 = 1 — use the Additive Inverse property: -9x + 9x = 0, so both sides simplify to constants.

Since 8 = 1 is false, the equation is inconsistent and has no solution. (0 solutions)