Question

solve
ax + by = a-b
bx = ay +a+b where a and b are constants where both are not zero

Answer 1

Answer :

The given equations are

    ax + by = a - b .....(i)

    bx - ay = a + b .....(ii)

We solve the problem by Elimination Method.

Thus we multiply (i) by b and (ii) by a. We get

    abx + b²y = ab - b²

    abx - a²y = a² + ab

On subtraction, we get

    abx + b²y - abx + a²y = ab - b² - a² - ab

    ⇒ (a² + b²) y = - (a² + b²)

    ⇒ y = - 1

Putting y = - 1 in (i), we get

    ax + (- 1) b = a - b

    ⇒ ax - b = a - b

    ⇒ ax = a

    ⇒ x = 1, where a ≠ 0

∴ the required solution be

    x = 1 and y = - 1

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Answer 2

Step-by-step explanation:

HOPE IT HELPS

X,Y = 1,-1