If 2 x-1-3 x-2-9-10- then the value of -x- is- -2 MARKS-

Steps: 1 Mark Result: 1 Mark 2x+1/3x 2 = 9/10 ⇒ 10(2x+1)=9(3x 2) ⇒ 20x+10=27x 18 ⇒ 10+18=27x 20x ⇒ 28=7x ⇒ 7x=28 ⇒ x=28/7=4 The value of 'x' is 4. ...

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Standard VII

Mathematics

Integers

If 2 x+1/3 x-...

Question

If $\frac{2 x + 1}{3 x - 2} = \frac{9}{10}$ , then the value of 'x' is: [2 MARKS]

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Solution

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

Steps: 1 Mark Result: 1 Mark 2x+13x−2=910 ⇒10(2x+1)=9(3x−2) ⇒20x+10=27x−18 ⇒10+18=27x−20x ⇒28=7x ⇒7x=28 ⇒x=287=4 The value of 'x' is 4.

If $\frac{2 x + 1}{3 x - 2} = \frac{9}{10}$ , then the value of 'x' is: [2 MARKS]

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.