Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

finish solving for h. you can choose to show your work below or solve o…

Question

finish solving for h. you can choose to show your work below or solve on paper, then enter your answer on zearn.
\\(\frac{3}{2}(5 + 2h) = 2 + 2h\\)
\\(2 \cdot \frac{3}{2}(5 + 2h) = 2 \cdot (2 + 2h)\\)
\\(3(5 + 2h) = 4 + 4h\\)
\\(15 + 6h = 4 + 4h\\)
\\(\underline{\quad - 4h \quad \quad \quad - 4h \quad}\\)
\\(15 + 2h = 4\\)
\\(h = \square\\)

Explanation:

Step1: Subtract 15 from both sides

$15 + 2h - 15 = 4 - 15$
$2h = -11$

Step2: Divide by 2 on both sides

$\frac{2h}{2} = \frac{-11}{2}$

Answer:

$h = -\frac{11}{2}$