Question

1. h(x) = \frac{-5x + 7}{4}, if h(x) = 14, x = \underline{\quad\quad}

Explanation:

Step1: Set equation equal to 14

$\frac{-5x + 7}{4} = 14$

Step2: Multiply both sides by 4

$-5x + 7 = 14 \times 4$
$-5x + 7 = 56$

Step3: Subtract 7 from both sides

$-5x = 56 - 7$
$-5x = 49$

Step4: Divide by -5

$x = \frac{49}{-5}$

Answer:

$x = -\frac{49}{5}$ or $x = -9.8$