Question

by the method of elimination solve 7/x + 8/y= 2, 2/x + 13/y= 22

Answer 1

Ans:-Let 1/x =a. and 1/y =b

so the equation would be

7a +8b =2_______(1)

2a + 13b.=22______(2)


[7a + 8b =2]*2


[2a + 13b =22]*7


14a+16b =4

14a + 91b =154

By solving them we get


a= -2

b= 2

$x \: = - 1 \div 2 \: \: y \: 1 \div 2$

Answer 2

Hence, the value of x and y by eliminating method is -1/2 and 1/2