Question

what is the value of x in this proportion?\\(\frac{4}{11} = \frac{-3}{x + 5}\\)\\(\bigcirc\\ x = -13\frac{1}{4}\\)\\(\bigcirc\\ x = -9\frac{1}{2}\\)\\(\bigcirc\\ x = -7\\)\\(\bigcirc\\ x = -3\frac{1}{4}\\)

Explanation:

Step1: Cross-multiply to eliminate fractions

$4(x+5) = 11\times(-3)$

Step2: Expand left side and simplify right

$4x + 20 = -33$

Step3: Isolate the term with x

$4x = -33 - 20$
$4x = -53$

Step4: Solve for x

$x = \frac{-53}{4} = -13\frac{1}{4}$

Answer:

A. $x = -13\frac{1}{4}$