Q. 31

Solve for x and y:

ax + by-a + b = 0, bx-ay-a-b = O.

Answer :

Eqn1 : ax + by - a + b = 0


ax + by = a - b


Multiplying both side by b


abx + b2y = ab - b2 …[1]


Eqn2 : bx - ay - a - b = 0


bx - ay = a + b


Multiplying both side by a


abx - a2y = a2 + ab …[2]


Subtracting [2] from [1]


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


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


-y(a2 + b2) = a2 + b2


-y = 1


y = 1


Putting value of y in eqn1, we get


ax + b(-1) - a + b = 0


ax - b - a + b = 0


ax = a


x = 1


So, x = 1 and y = -1


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
NCERT | Polynomials-I42 mins
Reduction and Oxidation Reactions-I57 mins
NCERT | Nationalism in India-I52 mins
NCERT | Glimpse into the Political World in India -I56 mins
How Long Should I Study in a Day??26 mins
How to Crack the NTSE Stage I in 4 months?41 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses