Question

Please help me solve this! 20 points.

An equation is shown below:

5x + 3(x – 5) = 6x + 2x – 15

Part A: Solve the equation and write the number of solutions. Show all the steps.

Part B: Name one property you used to solve this equation.

Answer 1

Part A:5x+3(x-5)=6x+2x-15

5x+3x-15=8x-15

+15 +15

5x+3x=8x

8x=8x

SO there’s an infinite amount of solutions.

Part b: i used the distributive property

Answer 2

see explanation

Explanation:

Given

5x + 3(x - 5) = 6x + 2x - 15

Use the distributive property to expand the parenthesis

5x + 3x - 15 = 8x - 15 ← collect like terms on the left side

8x - 15 = 8x - 15

Both sides are equal, hence the equation has an infinite number of solutions.