Question

question
solve for z. express your answer as a proper or improper fraction in simplest terms.
\\(\frac{1}{2} - \frac{7}{10}z = \frac{1}{2}\\)
answer attempt 1 out of 2
z =
submit answer

Explanation:

Step1: Subtract $\frac{1}{2}$ from both sides

$\frac{1}{2} - \frac{7}{10}z - \frac{1}{2} = \frac{1}{2} - \frac{1}{2}$
Simplify to get: $-\frac{7}{10}z = 0$

Wait, that seems wrong. Wait, the original equation is $\frac{1}{2} - \frac{7}{10}z = \frac{1}{2}$. Let's do it again.

Step1: Subtract $\frac{1}{2}$ from both sides

$\frac{1}{2} - \frac{7}{10}z - \frac{1}{2} = \frac{1}{2} - \frac{1}{2}$
So, $-\frac{7}{10}z = 0$

Step2: Solve for z by dividing both sides by $-\frac{7}{10}$

$z = 0 \div (-\frac{7}{10})$
$z = 0$

Wait, let's check the original equation. If z=0, then left side is $\frac{1}{2} - \frac{7}{10}(0) = \frac{1}{2}$, which equals the right side $\frac{1}{2}$. So that works.

Wait, maybe I misread the equation. Let me check again. The equation is $\frac{1}{2} - \frac{7}{10}z = \frac{1}{2}$. So subtracting $\frac{1}{2}$ from both sides gives $-\frac{7}{10}z = 0$, so z=0.

Answer:

$z = 0$