Question

170(x-y)=130+(y-x)

What is the value of x and y

Answer 1

170(x-y)=130+(y-x)

170x - 170y = 130 + y - x

170x + x = 130 + 170y + y

171x = 130 + 171y .......(1)

From (1)

171x = 130 + 171y

Dividing both sides with 171

x = (130 + 171y)/171

x = 130/171 + 171y/171

x = 130/171 + y

x = 0.76 + y ...(2)

From (2)...

x = 130/171 + y

x - 130/171 = y

x - 0.76 = y .....(3)


Proof:-

Substitute (3) in (1)

171x = 130 + 171y

171x = 130 + 171(x - 0.76)

171x = 130 + 171x - 130

171x - 171x = 130 - 130

0 = 0

(Approximation Used)

The values of x and y are


x = 0.76 + y , y = x - 0.76