Question

cross multiplication:
4x-3y-11=0
6x+7y-5=0​

Answer 1

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Answer 2

Given equation are 4x - 3y - 11 = 0 and 6x + 7y - 5 = 0

Comparing with a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0, We have

a1 = 4, b1 = - 3, c1 = -11 and a2 = 6, b2 = 7, c2 = - 5

Now, x =

and

b1c2-b2c1a1b2-a2b1 and y=c1a2-c2a1a1b2-a2b1

⇒ x =

and

-3×(-5)-7×(-11)4×7-6×(-3) and y=-11×6-(-5)×44×7-6×(-3)

⇒ x =

and

15+7728+18andy=-66+2028+18

⇒ x =

and

9246andy=-4646

⇒ x = 2 and y = - 1