Question

Solve : 15x + 17y = 21; 17x + 15y = 11​

Answer 1

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Solution : 15x + 17y = 21. . . (I)

17x + 15y = 11 . . . (II)

Let’s add the two given equations.

15x + 17y = 21

17x + 15y = 11

32x + 32y = 32

Dividing both sides of the equation by 32.

x + y = 1 . . . (III)

Now, let’s subtract equation (II) from (I)

15x + 17y = 21

17x + 15y = 11

-2x + 2y = 10

dividing the equation by 2.

-x + y = 5 . . . (IV)

Now let’s add equations (III) and (V).

x + y = 1

-x + y = 5

\ 2y = 6 \ y = 3

Place this value in equation (III).

x + y = 1

\ x + 3 = 1

\ x = 1 - 3 \ x = -2

(x, y) = (-2, 3) is the solution.

Answer 2

Answer:

I hope it helps you....

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