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What is the value of [tex]\( x \)[/tex] in the rational equation [tex]\(\frac{4}{7} = \frac{20}{x}\)[/tex]?

A. [tex]\(1 \frac{2}{5}\)[/tex]
B. 5
C. [tex]\(11 \frac{3}{7}\)[/tex]
D. 35

Sagot :

GinnyAnswer
To solve the equation [tex]\(\frac{4}{7} = \frac{20}{x}\)[/tex], let's follow these steps:

1. Cross Multiply:
Cross multiplying the equation helps eliminate the fractions. This means we multiply the numerator of one fraction by the denominator of the other fraction:
[tex]\[ 4 \cdot x = 20 \cdot 7 \][/tex]

2. Simplify Both Sides:
Simplify the right-hand side of the equation:
[tex]\[ 4x = 140 \][/tex]

3. Solve for [tex]\(x\)[/tex]:
To isolate [tex]\(x\)[/tex], divide both sides of the equation by 4:
[tex]\[ x = \frac{140}{4} \][/tex]

4. Calculate the Division:
Perform the division:
[tex]\[ x = 35 \][/tex]

Therefore, the value of [tex]\(x\)[/tex] is [tex]\(\boxed{35}\)[/tex].
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