Question

8z= 27 -3 solve and check

Answer 1

To solve the equation \( 8z = 27 - 3 \), follow these steps:

1. Simplify the right side of the equation:
\[
27 - 3 = 24
\]
So the equation becomes:
\[
8z = 24
\]

2. Next, divide both sides by 8 to solve for \( z \):
\[
z = \frac{24}{8} = 3
\]

Now, we have found that \( z = 3 \).

**Checking the solution:**
Substitute \( z = 3 \) back into the original equation to verify:
\[
8z = 27 - 3
\]
Substituting \( z \):
\[
8(3) = 27 - 3
\]
Calculate both sides:
\[
24 = 27 - 3
\]
As we simplify the right side:
\[
24 = 24
\]

Since both sides of the equation are equal, the solution \( z = 3 \) is correct.