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german
4 years ago
10

How do you solve this rational equation 3/4-x=x/7

Mathematics
1 answer:
Vanyuwa [196]4 years ago
4 0

Answer:

x = \frac{21}{32}

Step-by-step explanation:

Given

\frac{3}{4} - x = \frac{x}{7}

Multiply through by 28 ( the LCM of 4 and 7 ) to clear the fractions

21 - 28x = 4x ( subtract 4x from both sides )

21 - 32x = 0 ( subtract 21 from both sides )

- 32x = - 21 ( divide both sides by - 32 )

x = \frac{21}{32}

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