Question

How many solutions does this equation have?

–4z − 6 = –10 − 5z.

A. One
B. Two
C. Infinitely many
D. None of the above

Answer 1

The equation -4z - 6 = -10 - 5z has one solution.

Step-by-step explanation:

To determine the number of solutions for the equation -4z - 6 = -10 - 5z, we need to solve it and see what we get. Let's start by simplifying both sides of the equation.

We can add 5z to both sides to eliminate the variable from one side. This gives us -4z + 5z - 6 = -10. Combining like terms, we get z - 6 = -10. Next, we can add 6 to both sides to isolate the variable.

This gives us z - 6 + 6 = -10 + 6, or z = -4. So, the equation has one solution.