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If 17x + 15y = 11 and 15x + 17y = 21, then find the value of x − y. - Algebra

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Question

If 17x + 15y = 11 and 15x + 17y = 21, then find the value of x − y.

Sum

Solution

The given equations are

17x + 15y = 11   ...(1)

15x + 17y = 21   ...(2)

Now, let’s subtract equation (2) from (1)

17x + 15y = 11
15x + 17y = 21

−    −        −
___________________
2x − 2y = −10

Dividing the above equation by 2, we get

x − y = −5.

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