Question

How many solutions are there to solve 3m - 10 = 2(4m - 5)?

a. One solution
b. No solution
c. Infinite solutions
d. Two solutions

Answer 1

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

Step-by-step explanation:

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.