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In the equation [tex]\( \frac{x}{35} = 7 \)[/tex], what is the value of [tex]\( x \)[/tex]?

A) 245
B) 7
C) 5
D) 35


Sagot :

To solve the equation [tex]\( \frac{x}{35} = 7 \)[/tex] for [tex]\( x \)[/tex], follow these steps:

1. Start with the given equation:
[tex]\[ \frac{x}{35} = 7 \][/tex]

2. To isolate [tex]\( x \)[/tex], you need to eliminate the denominator [tex]\( 35 \)[/tex]. You can do this by multiplying both sides of the equation by [tex]\( 35 \)[/tex]:
[tex]\[ 35 \cdot \frac{x}{35} = 35 \cdot 7 \][/tex]

3. Simplify the left side of the equation. Since [tex]\( 35 \)[/tex] and [tex]\( \frac{1}{35} \)[/tex] cancel each other out, you are left with:
[tex]\[ x = 35 \cdot 7 \][/tex]

4. Now, multiply:
[tex]\[ x = 245 \][/tex]

Therefore, the value of [tex]\( x \)[/tex] is [tex]\( 245 \)[/tex].

So, the correct answer is:
A) 245