# Solve: <span lang

Given: … (1)

ax - by = 2ab … (2)

Multiplying by ab to (1) and a to (2), we get

a2x – b2y = a2b + ab2 … (3)

a2x – aby = 2a2b … (4)

Subtracting equation (4) from equation (3),

(a2x – a2x) + ( - aby) – ( - b2y) = (2a2b - a2b) – ab2

- aby + b2y = a2b – ab2

by(b – a) = ab(a – b)

y = b(b a) / ab(a b)

y = - a

Substitute y value in (2),

ax – b( - a) = 2ab

ax + ab = 2ab

ax = ab

x = b

The solution is x = b and y = - a.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
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
RELATED QUESTIONS :

Solve each of theRS Aggarwal - Mathematics

If 2x – 3y = 7 anRD Sharma - Mathematics

Solve the followiRD Sharma - Mathematics

Solve each of theRD Sharma - Mathematics