Question

Solve this by substitution method :-

$\: (a) \: \: \: 2y = \frac{30}{x - 1} \\ (b) \: \: \: y = \frac{30}{2 + x}$
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Answer 1

Solution :

The equations are :

(a) 2y = [ 30 ]/[ x - 1]

(b) y = [ 30 ]/[ 2 + x ] .

Here , from the second equation, we can get the value of y as ( 30 ) / ( x + 2 ) .

Substituting that value in the first equation , we get :

2 × [ 30 / x + 2 ] = [ 30 / x - 1 ] .

Cancelling the common terms , we get :

2 ( x - 1 ) = ( x + 2 )

=> 2x - 2 = x + 2

=> x = 4 .

y = 30 / ( x + 2 )

=> y = 30 / 6

=> y = 5 .

Hence , for the value of x and y to be 4 and 5 respectively , the equation satisfies .

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Answer 2

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