Solve for x- x-a-x-b-1-a-b-b-a-b-abb-a-bab-a-b

The correct option is D ab/a+bx/a+x/b=1 ⇒bx+ax/ab=1 ⇒x(a+b)/ab=1 Transposing ab to the RHS, we get x(a+b)=ab Transposing (a+b) to the RHS, we get x=ab/a+ ...

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Standard VIII

Mathematics

Equations Reducible to the Linear Form

Solve for x: ...

Question

$Solve for x:$

$\frac{x}{a} + \frac{x}{b} = 1$

\frac{(a + b)}{b}

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\frac{(a + b)}{a b}

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\frac{b}{a + b}

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\frac{a b}{a + b}

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Solution

The correct option is D $\frac{a b}{a + b}$
$\frac{x}{a} + \frac{x}{b} = 1 \Rightarrow \frac{b x + a x}{a b} = 1 \Rightarrow \frac{x (a + b)}{a b} = 1 Transposing ab to the RHS, we get x (a + b) = a b Transposing (a+b) to the RHS, we get x = \frac{a b}{a + b}$

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Solve for x: xa+xb=1

The correct option is D aba+bxa+xb=1⇒bx+axab=1⇒x(a+b)ab=1Transposing ab to the RHS, we get x(a+b)=abTransposing (a+b) to the RHS, we get x=aba+b

$Solve for x:$

$\frac{x}{a} + \frac{x}{b} = 1$

The correct option is D $\frac{a b}{a + b}$
$\frac{x}{a} + \frac{x}{b} = 1 \Rightarrow \frac{b x + a x}{a b} = 1 \Rightarrow \frac{x (a + b)}{a b} = 1 Transposing ab to the RHS, we get x (a + b) = a b Transposing (a+b) to the RHS, we get x = \frac{a b}{a + b}$