1.

Solve the following system of equations by reducing them to a pair of linear equations:14/ 2x-1 + 15/ y-2 =763/ 2x-1 - 21/y-2 =2

Answer»

Step-by-step explanation:

Let, 1/2x-1=a

and,1/y-2 = b

Therefore, 14a+15b=7 ____________(i)

63a-21b=2 ________________________(II)

(i)*9 - (ii)*2

126a+135b-126a+42b=63-4

=> 177b=59

=> b = 1/3

Put the VALUE of b in equation no (i)

14a+ 15*1/3=7

=>14a+5=7

=> 14a =2

=> a = 1/7

Again,

1/2x-1=a

=> 1/2x-1 =1/7

=> 2x-1=7

=>2x=8

=> x = 4

and

1/y-2=b

=>1/y-2=1/3

=> y-2=3

=> y=5

The ANSWER is x=4, y=5


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