Question

6-13. as you solve the equations below, be sure to record a carefully. check your solutions, if possible. solve for h: $a = \frac{1}{2}bh$ solve for y: $3x + 6y = 24$ solve for x: $5(-3 + x) = 35$

Explanation:

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Solve for h:

Step1: Multiply both sides by 2

$$2A = bh$$

Step2: Divide both sides by b

$$h = \frac{2A}{b}$$

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Solve for y:

Step1: Isolate the y-term

$$6y = 24 - 3x$$

Step2: Divide all terms by 6

$$y = \frac{24 - 3x}{6} = 4 - \frac{1}{2}x$$

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Solve for x:

Step1: Divide both sides by 5

$$-3 + x = 7$$

Step2: Add 3 to both sides

$$x = 7 + 3$$

Answer:

$h = \frac{2A}{b}$
$y = 4 - \frac{1}{2}x$
$x = 10$