How many solutions are there to solve 3m - 10 = 2(4m - 5)? a. One solution b. No solution c. Infinite solutions d. Two solutions

Question

asked Mar 17, 2024 42.3k views

1 Answer

Krypton · Answer 1 · 2024-03-24T10:19:59+0000

The equation 3m - 10 = 2(4m - 5) simplifies to 0 = 5m, which yields one solution, m = 0.

To solve the equation 3m - 10 = 2(4m - 5), we first expand the right side:

3m - 10 = 8m - 10

We then get all the terms involving m on one side by subtracting 3m from both sides:

-10 = 5m - 10

By adding 10 to both sides, we find that:

0 = 5m

Now, we divide both sides by 5 to solve for m:

m = 0

Thus, there is one solution to this equation.