Question

An equation is shown below: 8x + 2(x – 7) = 7x + 3x – 14 Part A: Solve the equation and write the number of solutions. Show all the steps. (6 points) Part B: Name one property you used to solve this equation. (4 points) Source StylesNormalFontSize

Answer 1

1. Infinitely Many
2. Distributive Property

Explanation:

8x + 2(x - 7) = 7x + 3x - 14

8x + 2x - 14 = 7x + 3x - 14 Distributive property.

10x - 14 = 10x - 14 Combine the like terms.

-14 = -14 Subtraction.

0 = 0 Addition.

Since the statement 0 = 0 is true regardless of the value of x, there is infinitely many solutions.