Respuesta :

Answer:

One solution.

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.

[tex]\begin{gathered} 6z−3z−7=−2+3 \\ \Rightarrow3z-7=1 \end{gathered}[/tex]

Next, we add 7 to both sides. This gives

[tex]3x-7+7=1+7[/tex][tex]3x=8[/tex]

dividing both sides by 3 gives

[tex]\boxed{z=8/3.}[/tex]

which is exactly one solution!

Therefore, our equation had one solution.