Question

Solve the following equations by elimination method:
ax+by=a^2
bx+ay=b^2

Answer 1

here is ur answer

Given that :

ax+by = a–b....(1)

bx–ay = a+b....(2)

Multiplying by a in equation (2) and by b in equation (1)

abx+b²y = ab–b²......(3)

abx–a²y = a²+ab.......(4)

On subtracting :

(a²+b²)y = –(a²+b²)

=> y = –1

On putting the value of y in equation (1)

ax+b×(–1) = a–b

=> ax–b = a–b

=> ax = a => x = 1

Thus, required value of x = 1 and y = –1

I hope it will be helpful for you.....!!