Question

solve the equation and check the solution.
7 = z + 5
z = \square

Explanation:

Step1: Isolate the variable z

To solve for \( z \) in the equation \( 7 = z + 5 \), we subtract 5 from both sides of the equation. This is based on the subtraction property of equality, which states that if we subtract the same number from both sides of an equation, the equality still holds. So we have:
\( 7 - 5 = z + 5 - 5 \)
Simplifying both sides, we get:
\( 2 = z \) or \( z = 2 \)

Step2: Check the solution

Substitute \( z = 2 \) back into the original equation \( 7 = z + 5 \).
Left - hand side (LHS) of the equation is 7.
Right - hand side (RHS) of the equation is \( z + 5=2 + 5 = 7\).
Since LHS = RHS (both equal to 7), the solution \( z = 2 \) is correct.

Answer:

\( z = 2 \)