Advertisement Remove all ads

Solve the following pair of linear equations. x/a−y/b=0, ax + by = a^2 + b^2 - Mathematics

Solve the following pair of linear equations.

`x/a-y/b = 0`

ax + by = a2 + b2

Advertisement Remove all ads

Solution

`x/a-y/b = 0`

Or, bx − ay = 0 … (1)

ax + by = a2 + b2 … (2)

Multiplying equation (1) and (2) by b and respectively, we obtain

b2− aby = 0 … (3)

a2x + aby a3 + ab2 … (4)

Adding equations (3) and (4), we obtain

b2a2x = a3 + ab2

x (b2 + a2) = a (a2 + b2)

x = a

By using (1), we obtain

b (a) − ay = 0

ab − ay = 0

ay = ab

b

  Is there an error in this question or solution?
Advertisement Remove all ads

APPEARS IN

NCERT Class 10 Maths
Chapter 3 Pair of Linear Equations in Two Variables
Exercise 3.7 | Q 7.3 | Page 68
Advertisement Remove all ads
Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×