Question

determine if each possible value for h will make this equation \\(\frac{3}{2}h = 42\\) true or false.

	true	false
26	\\(\circ\\)	\\(\circ\\)
28	\\(\circ\\)	\\(\circ\\)
63	\\(\circ\\)	\\(\circ\\)

Explanation:

Step1: Solve for h

Multiply both sides by $\frac{2}{3}$: $h = 42 \times \frac{2}{3} = 28$

Step2: Check 14

$\frac{3}{2} \times 14 = 21
eq 42$ → False

Step3: Check 26

$\frac{3}{2} \times 26 = 39
eq 42$ → False

Step4: Check 28

$\frac{3}{2} \times 28 = 42$ → True

Step5: Check 63

$\frac{3}{2} \times 63 = 94.5
eq 42$ → False

Answer:

14: False
26: False
28: True
63: False