Question

solve for x using cross multiplication.\\(\frac{3x}{4} = \frac{2x + 7}{5}\\)\\(x = ?\\)

Explanation:

Step1: Cross multiply the fractions

$5 \times 3x = 4 \times (2x + 7)$

Step2: Simplify both sides

$15x = 8x + 28$

Step3: Isolate x terms

$15x - 8x = 28$

Step4: Solve for x

$7x = 28$
$x = \frac{28}{7}$

Answer:

$x = 4$