Question

1. g = ac, for a
2. z = \frac{a}{m}, for a
3. g = a + c, for a

Explanation:

Step1: Isolate $a$ (Problem 5)

Divide both sides by $c$:
$\frac{g}{c} = \frac{ac}{c}$

Step2: Simplify (Problem 5)

Cancel $c$ on right side:
$\frac{g}{c} = a$

Step3: Isolate $a$ (Problem 7)

Multiply both sides by $m$:
$z \times m = \frac{a}{m} \times m$

Step4: Simplify (Problem 7)

Cancel $m$ on right side:
$zm = a$

Step5: Isolate $a$ (Problem 9)

Subtract $c$ from both sides:
$g - c = a + c - c$

Step6: Simplify (Problem 9)

Cancel $c$ on right side:
$g - c = a$

Answer:

Problem 5: $a = \frac{g}{c}$
Problem 7: $a = zm$
Problem 9: $a = g - c$