Question

HELP - 100 POINTS AND BRAINLIEST
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. (6 points)

Part B: Name one property you used to solve this equation. (4 points)

Answer 1

Answer:

Infinitely many solutions

Step-by-step explanation:

A.

5x + 3(x – 5) = 6x + 2x – 15

5x + 3(x) + 3(–5) = 6x + 2x – 15

5x + 3x – 15 = 8x – 15

8x – 15 = 8x – 15

This equation has infinitely many solutions.

Why? because they have the same terms on both sides of the equation, everything is the same.

B.

One property that was used to solve this equation is the distributive property 3(x – 5).

Hope this helps!

Answer 2

Part A:Infinitely many solutions
Part B:Distributive property