Question

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

Answer 1

The value of (x-y) is -5

Step-by-step explanation:

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=3115x+17y=31 -(1)

17x+15y=2117x+15y=21 -(2)

Subtracting equation 2 from 1, we have

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

−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.

Answer 2

Answer:

answer is -5

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