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

1 Answer
Mar 17, 2017

Answer:

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)