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

Question

asked Dec 23, 2023 143k views

1 Answer

ZeroGraviti · Answer 1 · 2023-12-28T02:30:52+0000

Answer:

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

dividing both sides by 3 gives

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

which is exactly one solution!

Therefore, our equation had one solution.