Question

5x + 3(x-5) = 6x + 2x -15 solve the equation and write the number of solutions. Name one property you used to solve this equation.

Answer 1

The number of solutions is infinitive, meaning that you could use any number. And a property that you used to solve this problem was distributive property. In order to distribute 3 over (x-5)

Answer 2

infinite number

Explanation:

Carry out the multiplication indicated here:

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

Now combine the x terms: We get 8x - 15 = 8x - 15, or -15 = -15.

This last result is always true, so this equation has an infinite number of solutions.