Question

Solve the following pairs of linear equations by elimination method and the substitution method.

(i) x + y = 5 and 2x - 3y = 4

(ii) 3x + 4y = 10 and 2x - 2y = 2

(iii) 3x - 5y - 4 = 0 and 9x = 2y + 7

Answer 1

(i) By elimination method :

By substitution method :

On substituting the value of y from eqn. (iii) in eqn. (ii),

x = 19/5

On substituting this value of x in eqn. (iii), we get

(ii) By elimination method :

(iii) By elimination method :