Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

what is the value of x in the equation (-\frac{1}{3}x = 1.5)? (\boldsym…

Question

what is the value of x in the equation (-\frac{1}{3}x = 1.5)?

(\boldsymbol{-\frac{9}{2}}) (\boldsymbol{-\frac{1}{2}}) (\boldsymbol{\frac{1}{2}}) (\boldsymbol{\frac{9}{2}})

Explanation:

Step1: Convert 1.5 to fraction

1.5 can be written as $\frac{3}{2}$. So the equation becomes $-\frac{1}{3}x = \frac{3}{2}$.

Step2: Solve for x

Multiply both sides of the equation by -3 to isolate x.
$x=\frac{3}{2}\times(-3)$
$x = -\frac{9}{2}$

Answer:

$-\frac{9}{2}$ (corresponding to the option "A. $-\frac{9}{2}$" if we assume the first option is A, but based on the given options, the correct one is the first circle with $-\frac{9}{2}$)