If 2x+13x−2=910, then the value of 'x' is: [2 MARKS]

Question

\frac{2 x + 1}{3 x - 2} = \frac{9}{10}

, then the value of 'x' is: [2 MARKS]

Answer:
:
Steps: 1 Mark
Result: 1 Mark

\frac{2 x + 1}{3 x - 2} = \frac{9}{10}

\Rightarrow 10 (2 x + 1) = 9 (3 x - 2)

\Rightarrow 20 x + 10 = 27 x - 18

\Rightarrow 10 + 18 = 27 x - 20 x

\Rightarrow 28 = 7 x

\Rightarrow 7 x = 28

\Rightarrow x = \frac{28}{7} = 4

The value of 'x' is 4.

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