Question

How many solutions does the equation 6z − 3z − 7 = −2 + 3 have? (5 points)TwoNoneInfinitely manyOne

Answer 1

One solution.

Step-by-step explanation:

Let us try to solve the equation and see how many solutions it has.

The first step in solving the equation is to first simplify both the right-hand and the left-hand sides. This means adding all the like terms.

`\begin{gathered} 6z−3z−7=−2+3 \\ \Rightarrow3z-7=1 \end{gathered}`

Next, we add 7 to both sides. This gives

`3x-7+7=1+7`
`3x=8`

dividing both sides by 3 gives

`\boxed{z=8/3.}`

which is exactly one solution!

Therefore, our equation had one solution.