Question

what value of z is a solution to this equation?
$4 = \frac{z + 10}{5}$
$z = -10$ $z = 10$

Explanation:

Step1: Multiply both sides by 5

To eliminate the denominator, we multiply both sides of the equation \(4 = \frac{z + 10}{5}\) by 5. This gives us \(4\times5=\frac{z + 10}{5}\times5\), which simplifies to \(20=z + 10\).

Step2: Subtract 10 from both sides

Now, we subtract 10 from both sides of the equation \(20=z + 10\) to solve for \(z\). So, \(20-10=z+10 - 10\), which simplifies to \(10 = z\).

Answer:

\(z = 10\)