Question

solve the equation ax+ by =a- b, bx - ay= a+ b​

Answer 1

Step-by-step explanation:

Answers

MarkAsBrainliest Genius

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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