Question

B) Find the solution of ANY ONE of the following:
i. 9x - 2y = 11 & 5x + y = 4 (use elimination method)
ii. 4x + y = 15 & 3x - 5y = 17 (use cross multiplication method)
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Answer 1

Given system of equations are,

9x - 2y = 11.........[1]

and,5x + y=4.............[2]

★Multiplying [2] by 2,

10x + 2y = 8............[3]

★Adding [1] and [3],we obtain:

(9x+10x) + (2y-2y) = 11+8

→19x=19

→x = 1

Putting x=1 in [2],

5x + y = 4

→5+y=4

→y= -1

Thus, x=1 and y= -1