Solve the following equation - 3x-x-6-x-x-5-2

3x/x+6 x/x+5=2 ⇒ 3x(x+5) x(x+6)/(x+6)(x+5)=2 ⇒ 3x^2+15x x^2 6x/x^2+5x+6x+30=2 ⇒ 2x^2+9x/x^2+11+30=2 ⇒ 2x^2+9x=2(x^2+11x+30) ⇒ 2x^2+9x=2x^2+22x+60 ⇒ 2x^2 2x^2+ ...

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Byju's Answer

Standard VIII

Mathematics

Solving Equations with Linear Expressions on One Side and Numbers on the Other Side

Solve the fol...

Question

Solve the following equation :

$\frac{3 x}{x + 6} - \frac{x}{x + 5} = 2$

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Solution

$\frac{3 x}{x + 6} - \frac{x}{x + 5} = 2 \Rightarrow \frac{3 x (x + 5) - x (x + 6)}{(x + 6) (x + 5)} = 2 \Rightarrow \frac{3 x^{2} + 15 x - x^{2} - 6 x}{x^{2} + 5 x + 6 x + 30} = 2 \Rightarrow \frac{2 x^{2} + 9 x}{x^{2} + 11 + 30} = 2 \Rightarrow 2 x^{2} + 9 x = 2 (x^{2} + 11 x + 30) \Rightarrow 2 x^{2} + 9 x = 2 x^{2} + 22 x + 60 \Rightarrow 2 x^{2} - 2 x^{2} + 9 x - 22 x = 60 \Rightarrow - 13 x = 60 x = - \frac{60}{13} = - 4 \frac{8}{13}$

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Solve the following equation : 3xx+6−xx+5=2

3xx+6−xx+5=2⇒ 3x(x+5)−x(x+6)(x+6)(x+5)=2⇒ 3x2+15x−x2−6xx2+5x+6x+30=2⇒ 2x2+9xx2+11+30=2⇒ 2x2+9x=2(x2+11x+30)⇒ 2x2+9x=2x2+22x+60⇒ 2x2−2x2+9x−22x=60⇒ −13x=60x=−6013=−4813

Solve the following equation :

$\frac{3 x}{x + 6} - \frac{x}{x + 5} = 2$