Question

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

Explanation:

Step1: Isolate z by subtracting 5

To solve for \( z \) in the equation \( 7 = z + 5 \), we subtract 5 from both sides. This is based on the subtraction property of equality, which states that if \( a = b \), then \( a - c = b - c \). So, we have:

\( 7 - 5 = z + 5 - 5 \)

Simplifying both sides:

\( 2 = z \)

Step2: Check the solution

Now, we check if \( z = 2 \) satisfies the original equation. Substitute \( z = 2 \) into the right - hand side of the equation \( 7 = z + 5 \):

\( z + 5=2 + 5 = 7 \)

The left - hand side of the original equation is 7, and the right - hand side after substitution is also 7. So, the solution is correct.

Answer:

\( z = 2 \)