Question

1. $g = ak$, for $a$
2. $g = c + x$, for $x$
3. $g = xc$, for $x$
4. $-3x + 2c = -3$, for $x$
5. $u = \frac{ak}{b}$, for $a$
6. $xm = np$, for $x$

Explanation:

Problem 4: Isolate $a$

Divide both sides by $c$.
$\frac{g}{c} = \frac{ca}{c}$

Problem 6: Isolate $x$

Subtract $c$ from both sides.
$g - c = c + x - c$

Problem 8: Isolate $x$

Divide both sides by $c$.
$\frac{g}{c} = \frac{xc}{c}$

Problem 10: Isolate $-3x$

Subtract $2c$ from both sides.
$-3x + 2c - 2c = -3 - 2c$

Problem 10 Step 2: Isolate $x$

Divide both sides by $-3$.
$\frac{-3x}{-3} = \frac{-3 - 2c}{-3}$

Problem 12: Isolate $ak$

Multiply both sides by $b$.
$ub = \frac{ak}{b} \times b$

Problem 12 Step 2: Isolate $a$

Divide both sides by $k$.
$\frac{ub}{k} = \frac{ak}{k}$

Problem 14: Isolate $x$

Divide both sides by $m$.
$\frac{xm}{m} = \frac{np}{m}$

Answer:

1. $a = \frac{g}{c}$
2. $x = g - c$
3. $x = \frac{g}{c}$
4. $x = \frac{3 + 2c}{3}$
5. $a = \frac{ub}{k}$
6. $x = \frac{np}{m}$