SOLVE THE FOLLOWING SYSTEMS OF EQUATIONS- 11X+15Y+23=0, 7X-2Y-20=0

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Solution

Given equations are 11x + 15y + 23 = 0 and 7x – 2y – 20 = 0
or 11x + 15y = – 23 and 7x – 2y = 20
Multiplying the first equation with 2 and the second equation by 15 and then adding both these equations.
22x + 30y + 105x – 30y = – 46 + 300
⇒ 127x = 254
⇒ x = 2
And, y = –3

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11 x + 15 y + 23 = 0, 7 x - 2 y - 20 = 0

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