Answered

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What is the value of [tex]\( x \)[/tex] in the equation [tex]\( \frac{3}{5} x = -45 \)[/tex]?

A. [tex]\(-75\)[/tex]

B. [tex]\(-27\)[/tex]

C. 27

D. 75

Sagot :

GinnyAnswer
To find the value of [tex]\( x \)[/tex] in the equation [tex]\(\frac{3}{5} x = -45\)[/tex], follow these steps:

1. Remove the fraction by multiplying both sides of the equation by the denominator:
[tex]\[ \frac{3}{5} x \times 5 = -45 \times 5 \][/tex]
Simplifying both sides gives:
[tex]\[ 3x = -225 \][/tex]

2. Solve for [tex]\( x \)[/tex] by isolating [tex]\( x \)[/tex]. To do this, divide both sides of the equation by the coefficient of [tex]\( x \)[/tex], which is 3:
[tex]\[ x = \frac{-225}{3} \][/tex]
Simplifying the right side of the equation:
[tex]\[ x = -75 \][/tex]

Hence, the value of [tex]\( x \)[/tex] is [tex]\(-75\)[/tex]. Therefore, the correct answer is:

[tex]\[ \boxed{-75} \][/tex]
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