Math, asked by arachanapatil841, 5 days ago

if 15x+17y=31 and 17x+15y=21 find the value of (x-y)​

Answers

Answered by Ɍɛղgɔƙմ
53

Answer:

hope it will helps you..

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Answered by Dhruv4886
33

Given:

15x+17y=31 and 17x+15y=21

To Find:

find the value of (x-y)​

Solution:

We are given two equations 15x+17y=31 and 17x+15y=21 and we need to find the value of (x-y), we can solve the equation by elimination method,

15x+17y=31      -(1)

17x+15y=21      -(2)

Subtracting equation 2 from 1, we have

-2x+2y=10\\2(y-x)=10\\y-x=5\\x-y=-5

So the value of x-y=5 ( we multiplied both sides of the equation with -1 when y-x=5 because we needed to find the value of x-y)

Hence, the value (x-y) is -5.

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