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Rational Expression

Question 67 S...

Question

Question 67

Solve the following:

$3 x - \frac{x - 2}{3} = 4 - \frac{x - 1}{4}$

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Solution

Given, $3 x - \frac{x - 2}{3} = 4 - \frac{x - 1}{4} \Rightarrow \frac{9 x - (x - 2)}{3} = \frac{16 - (x - 1)}{4} \Rightarrow 4 (9 x - x + 2) = 3 (16 - x + 1) \Rightarrow 4 (8 x + 2) = 3 (- x + 17) \Rightarrow 32 x + 8 = - 3 x + 51 \Rightarrow 32 x + 3 x = 51 - 8 \Rightarrow 35 x = 43 \Rightarrow \frac{35 x}{35} = \frac{43}{35} ∴ x = \frac{43}{35}$

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Question 67

Solve the following:

$3 x - \frac{x - 2}{3} = 4 - \frac{x - 1}{4}$

x

3 x - \frac{x - 2}{3} = 4 - \frac{x - 1}{4}

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Rational Expression

Standard X Mathematics

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