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What is the value of [tex][tex]$x$[/tex][/tex] in the equation [tex][tex]$-\frac{3}{4}=\frac{x}{24}$[/tex][/tex]?

A. [tex]$-32$[/tex]
B. [tex]$-18$[/tex]
C. 18
D. 32

Sagot :

GinnyAnswer
To solve the equation [tex]\( -\frac{3}{4} = \frac{x}{24} \)[/tex] for [tex]\( x \)[/tex], follow these steps:

1. Understand the equation: The equation is given as [tex]\( -\frac{3}{4} = \frac{x}{24} \)[/tex]. This equation can be solved by isolating [tex]\( x \)[/tex].

2. Cross-multiply to eliminate the fractions: Cross-multiplying involves multiplying the numerator of each fraction by the denominator of the opposite fraction. This step transforms the equation into a form without fractions.

[tex]\[ -3 \times 24 = 4 \times x \][/tex]

3. Simplify the multiplication on the left-hand side: Perform the multiplication:

[tex]\[ -3 \times 24 = -72 \][/tex]

Now, the equation is:

[tex]\[ -72 = 4x \][/tex]

4. Solve for [tex]\( x \)[/tex]: To isolate [tex]\( x \)[/tex], divide both sides of the equation by 4:

[tex]\[ x = \frac{-72}{4} \][/tex]

5. Simplify the division: Perform the division to find the value of [tex]\( x \)[/tex]:

[tex]\[ x = -18 \][/tex]

Therefore, the value of [tex]\( x \)[/tex] is [tex]\(-18\)[/tex].

The correct answer is [tex]\(\boxed{-18}\)[/tex].
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