Question

h(x) = \frac{-5x + 2}{3}, find h(x) = -7

Explanation:

Step1: Set function equal to -7

$$\frac{-5x+2}{3} = -7$$

Step2: Multiply both sides by 3

$$-5x+2 = -7 \times 3$$
$$-5x+2 = -21$$

Step3: Subtract 2 from both sides

$$-5x = -21 - 2$$
$$-5x = -23$$

Step4: Solve for x

$$x = \frac{-23}{-5}$$
$$x = \frac{23}{5}$$

Answer:

$x = \frac{23}{5}$ or $x=4.6$