Question

if 173x+197y=149 and 197x+173 y=221, then (x, y) will be

Answer 1

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Answer 2

Given:

Two equations 173x + 197y = 149 and 197x + 173y = 221.

To find:

The value of x and y.

Solution:

As given, we have two equations

173x + 197y = 149 (i)

and

197x + 173y = 221 (ii)

Now,

on adding (i) and (ii), we have

$370x + 370y = 370$

divide both sides by 370, we have,

$x + y = 1 \: \: \: (iii)$

Also,

on subtracting (ii) from (i), we get,

$24x - 24y = 72$

divide both sides by 24, we have

$x - y = 3 \: \: \: (iv)$

Now,

adding (iii) and (iv), we get

$2x = 4$

$x = 2$

Now,

on putting the value of x in (iii), we get

$2 + y = 1$

$y = - 1$

Hence, the value of x and y is 2 and -1 respectively.