How do you solve the following linear system: 2x - 3y = 4 , 6y = 4x + 15 ?

1 Answer
Alan P.
Mar 17, 2017

The given pair of equations have no common solution.

Explanation:

Given
[1]color(white)("XXX")2x-3y=4
[2]color(white)("XXX")6y=4x+15

Convert [2] into standard form (Ax+By=C)
[3]color(white)("XXX")4x-6y=-15

Notice that the Left Side of [3] is exactly 2 times the Right Side of [1] (but the Right Side is not twice the Right Side of [1])
rArr these equations represent parallel lines with no point(s) of intersection (i.e. no solution points)

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