Solve- x-3x-2-3x-72x-3

x+3x+2=3x 72x 3 ⇒ #160; (x+3)(2x 3)=(3x 7)(x+2) ⇒ #160; 2x^2 3x+6x 9=3x^2+6x 7x 14 ⇒ #160; x^2 4x 5=0 ⇒ #160 ...

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Byju's Answer

Standard VIII

Mathematics

Addition and Subtraction of Algebraic Expression

Solve: x+3x+...

Question

Solve:
$\frac{x + 3}{x + 2} = \frac{3 x - 7}{2 x - 3}$

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Solution

$\frac{x + 3}{x + 2} = \frac{3 x - 7}{2 x - 3}$
$\Rightarrow$ $(x + 3) (2 x - 3) = (3 x - 7) (x + 2)$
$\Rightarrow$ $2 x^{2} - 3 x + 6 x - 9 = 3 x^{2} + 6 x - 7 x - 14$
$\Rightarrow$ $x^{2} - 4 x - 5 = 0$
$\Rightarrow$ $x^{2} - 5 x + x - 5 = 0$
$\Rightarrow$ $x (x - 5) + 1 (x - 5) = 0$
$\Rightarrow$ $(x - 5) (x + 1) = 0$
$\Rightarrow$ $x - 5 = 0$ and $x + 1 = 0$
$∴$ $x = 5$ and $x = - 1$

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Solve:x+3x+2=3x−72x−3

x+3x+2=3x−72x−3⇒ (x+3)(2x−3)=(3x−7)(x+2)⇒ 2x2−3x+6x−9=3x2+6x−7x−14⇒ x2−4x−5=0⇒ x2−5x+x−5=0⇒ x(x−5)+1(x−5)=0⇒ (x−5)(x+1)=0⇒ x−5=0 and x+1=0∴ x=5 and x=−1

Solve:
$\frac{x + 3}{x + 2} = \frac{3 x - 7}{2 x - 3}$