College

Which of the following would solve the one-step equation [tex]z - 215 = 3[/tex]?

A. Add 215 to one side
B. Add 215 to both sides
C. Subtract 215 from both sides
D. Subtract 3 from one side

Answer :

We start with the equation
[tex]$$
z - 215 = 3.
$$[/tex]

To isolate [tex]$z$[/tex], we need to eliminate the [tex]$-215$[/tex] on the left-hand side. We do this by adding [tex]$215$[/tex] to both sides of the equation. This gives:

[tex]$$
z - 215 + 215 = 3 + 215.
$$[/tex]

On the left-hand side, [tex]$-215 + 215 = 0$[/tex], so we have:

[tex]$$
z = 3 + 215.
$$[/tex]

Since [tex]$3 + 215 = 218$[/tex], we find that:

[tex]$$
z = 218.
$$[/tex]

Thus, the equation is solved by adding [tex]$215$[/tex] to both sides. Therefore, the correct answer is option b.