Answered

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What is the solution to this equation?

[tex]\(\frac{x}{5}=15\)[/tex]

A. [tex]\(x=3\)[/tex]
B. [tex]\(x=20\)[/tex]
C. [tex]\(x=75\)[/tex]
D. [tex]\(x=10\)[/tex]

Sagot :

GinnyAnswer
To solve the equation

[tex]\[ \frac{x}{5} = 15 \][/tex]

we need to isolate the variable [tex]\( x \)[/tex]. This involves getting rid of the denominator on the left side.

1. The equation is currently in the form [tex]\( \frac{x}{5} = 15 \)[/tex].
2. To eliminate the denominator, multiply both sides of the equation by 5:

[tex]\[ 5 \cdot \frac{x}{5} = 5 \cdot 15 \][/tex]

3. On the left side, [tex]\( \frac{x}{5} \times 5 = x \)[/tex], since multiplying by 5 and dividing by 5 cancel each other out.

4. This simplifies to:
[tex]\[ x = 75 \][/tex]

Thus, the solution to the equation is [tex]\( x \)[/tex]. From the given options, the correct choice is:

C. [tex]\( x = 75 \)[/tex]
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