What is the common point of the lines y=20-x and 3x-2y-6=0 ?

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We have to find the common points of y=20-x and 3x-2y-6=0. This is equivalent to solving for x and y using the given equations.

We have y=20-x.

substitute this for y in 3x-2y-6=0

=> 3x - 2( 20 - x) - 6 = 0

=> 3x - 40 + 2x - 6 = 0

=> 5x - 46 = 0

=> x = 46/5

y = 20 - x = 20 - 46/5 = 54/5

Therefore the lines meet at the point (46/5 , 54/5)

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