To solve this equation for z, we can proceed as follows:
1. Subtract 19 from both sides of the equation:
[tex]40-19=19-19+\frac{1}{4}z\Rightarrow21=\frac{1}{4}z[/tex]2. Multiply by 4 to both sides of the equation (Multiplication property of equality):
[tex]4\cdot21=4\cdot\frac{1}{4}z\Rightarrow84=\frac{4}{4}z\Rightarrow z=84[/tex]Therefore, the value for z is equal to 84.
