How many solutions will the equation 2/3(6m+9)−6=4m have?(1 point)

Question

Responses

no solution
no solution

infinite/many solutions
infinite/many solutions

one solution
one solution

two solutions

Answer 1

To solve the equation \( \frac{2}{3}(6m + 9) - 6 = 4m \), we can start by simplifying both sides.

1. Distribute \( \frac{2}{3} \) on the left side: \[ \frac{2}{3} \times 6m + \frac{2}{3} \times 9 = 4m + 6 \] This becomes: \[ 4m + 6 - 6 = 4m \] Simplifying further gives: \[ 4m = 4m \]

This indicates that the equation holds true for all values of \( m \). Therefore, the equation has infinite solutions.

So the answer is infinite/many solutions.