Question

1. what is the solution of \\(\frac{v + 2}{3} = \frac{15}{v - 2}\\)?

\\(\circ\\) 7 or -7
\\(\circ\\) 3 or -3
\\(\circ\\) 7 only
\\(\circ\\) 3 only

Explanation:

Step1: Cross-multiply the equation

$(v + 2)(v - 2) = 15 \times 3$

Step2: Expand left side and simplify right

$v^2 - 4 = 45$

Step3: Rearrange into quadratic equation

$v^2 = 49$

Step4: Solve for v

$v = \pm 7$

Answer:

7 or -7