Question

practice problems: solve each literal equation for the indicated variable.

1. $g = 6x$, for $x$
2. $u = 2x - 2$, for $x$
3. $z = m - x$, for $x$
4. $g = ca$, for $a$
5. $g = ac$, for $a$
6. $u = \frac{x}{k}$, for $x$
7. $z = \frac{a}{m}$, for $a$
8. $u = xk$, for $x$
9. $g = a + c$, for $a$
10. $z = mx$, for $x$

Explanation:

Step1: Isolate $x$ via division

Divide both sides by 6:
$\frac{g}{6} = \frac{6x}{6}$

Step2: Simplify to solve for $x$

Cancel 6 on right side:
$x = \frac{g}{6}$

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Step1: Isolate $2x$ via addition

Add 2 to both sides:
$u + 2 = 2x$

Step2: Isolate $x$ via division

Divide both sides by 2:
$x = \frac{u+2}{2}$

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Step1: Isolate $-x$ via subtraction

Subtract $m$ from both sides:
$z - m = -x$

Step2: Multiply by -1 to solve $x$

Multiply both sides by $-1$:
$x = m - z$

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Step1: Isolate $a$ via division

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

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Step1: Isolate $a$ via division

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

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Step1: Isolate $x$ via multiplication

Multiply both sides by $k$:
$x = uk$

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Step1: Isolate $a$ via multiplication

Multiply both sides by $m$:
$a = zm$

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Step1: Isolate $x$ via division

Divide both sides by $k$:
$x = \frac{u}{k}$

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Step1: Isolate $a$ via subtraction

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

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Step1: Isolate $x$ via division

Divide both sides by $m$:
$x = \frac{z}{m}$

Answer:

1. $x=\frac{g}{6}$
2. $x=\frac{u+2}{2}$
3. $x=m-z$
4. $a=\frac{g}{c}$
5. $a=\frac{g}{c}$
6. $x=uk$
7. $a=zm$
8. $x=\frac{u}{k}$
9. $a=g-c$
10. $x=\frac{z}{m}$