Question

I need the solution for question 14

Answer 1

ax+by=a-b..... (1)
bx-ay=a+b....(2)
Multiplying eq 1 by b and eq 2 by a
abx+b2y=ab-b2.... (3)
abx- a2y= a2+ ab.... (4)
Subtracting eq 3 n 4
abx+b2y=ab-b2
abx-a2y=a2+ab
(-). (+). (-). (-)
b2y+a2y= ab-b2-a2-ab
y(a2+b2)=-a2-b2
y(a2+b2)=-(a2+b2)
y=-1
putting the value of y in eq 1
ax+by=a-b
ax+b×-1=a-b
ax-b=a-b
ax=a-b+b
ax=a
x=a/a
x=1
Answer is x=1 ,y =-1