Question

solve for the indicated variable:

1. solve for t: (\frac{1}{3}t = a)
2. solve for d: (dt + g = h)
3. solve for h: (w - h = z)
4. solve for s: (b = s cdot a cdot w)

Explanation:

Step1: Isolate t, multiply by 3

Multiply both sides by 3:
$$3 \times \frac{1}{3}t = 3a$$

Step2: Simplify to find t

$$t = 3a$$

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Step1: Isolate dt, subtract g

Subtract $g$ from both sides:
$$dt = h - g$$

Step2: Isolate d, divide by t

Divide both sides by $t$ ($t
eq 0$):
$$d = \frac{h - g}{t}$$

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Step1: Isolate -h, subtract w

Subtract $w$ from both sides:
$$-h = z - w$$

Step2: Multiply by -1 to find h

Multiply both sides by $-1$:
$$h = w - z$$

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Step1: Isolate s, divide by a·w

Divide both sides by $a \cdot w$ ($a
eq 0, w
eq 0$):
$$s = \frac{b}{a \cdot w}$$

Answer:

1. $t = 3a$
2. $d = \frac{h - g}{t}$
3. $h = w - z$
4. $s = \frac{b}{aw}$