Question

1. $u = \frac{x}{k}$, for $x$

$x = uk$

1. $u = xk$, for $x$

$x = \frac{u}{k}$

1. $z = mx$, for $x$

Explanation:

Step1: Isolate x (Problem 6)

Multiply both sides by $k$.
$u \times k = \frac{x}{k} \times k$

Step2: Simplify for x (Problem 6)

Cancel $k$ on the right side.
$x = uk$

Step3: Isolate x (Problem 8)

Divide both sides by $k$.
$\frac{u}{k} = \frac{xk}{k}$

Step4: Simplify for x (Problem 8)

Cancel $k$ on the right side.
$x = \frac{u}{k}$

Step5: Isolate x (Problem 10)

Divide both sides by $m$.
$\frac{z}{m} = \frac{mx}{m}$

Step6: Simplify for x (Problem 10)

Cancel $m$ on the right side.
$x = \frac{z}{m}$

Answer:

Problem 6: $x = uk$
Problem 8: $x = \frac{u}{k}$
Problem 10: $x = \frac{z}{m}$