Question

$\frac{x + 3}{x - 3} = \frac{x + 5}{x - 2}$
solve this fast
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Answer 1

Answer:

Hope u get it

Explanation:

x+3/x-3=x+5/x-2

(x+3)(x-2)=(x-3)(x+5)

x^2+3x-2x-2×3=x^2+5x-3

solve it and answer is 9

Answer 2

ANSWER:

Given:

$\:\:\:\:\bullet\:\:\:\:\dfrac{x+3}{x-3}=\dfrac{x+5}{x-2}$

To Find:

• Value of x.

Solution:

$:\longrightarrow\dfrac{x+3}{x-3}=\dfrac{x+5}{x-2}\\\\\text{On cross-multiplying,}\\\\:\implies(x+3)(x-2)=(x+5)(x-3)\\\\:\implies x^2+3x-2x-6=x^2+5x-3x-15\\\\:\implies x^2\!\!\!\!/\,+x-6=x^2\!\!\!\!/\,+2x-15\\\\:\implies-6+15=2x-x\\\\:\implies9=x\\\\\bf{:\implies x=9}$

Verification:

$:\longrightarrow\dfrac{x+3}{x-3}=\dfrac{x+5}{x-2}\\\\\text{Putting x = 9}\\\\:\implies\dfrac{9+3}{9-3}=\dfrac{9+5}{9-2}\\\\:\implies\dfrac{12\!\!\!\!/^{\:2}}{6\!\!\!/}=\dfrac{14\!\!\!\!/^{\:2}}{7\!\!\!/}\\\\:\implies 2=2\\\\\text{As, LHS = RHS}\\\\\text{\bf{Hence Verified}}$