How do you solve this system of equations: #6x = 4y - 24 and 6y = 9x + 36#?

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Answer 1 · 2018-05-14T03:09:42

These both equations are actually the same one, only the coefficients are different.

First equation is:

#6x = 4y -24#
#or, 6x - 4y = -24 ....................(1)#

Second equation is

#6y = 9x + 36#
#or, 9x - 6y = -36 ......................(2)#

Now, when you divide equation(1) by 2 on both sides:

#(6x - 4y) / 2 = -24 / 2#
#or, 3x - 2y = -12 ........................(3)#

Now, when we divide equation(2) by 3 on both sides:

#(9x - 6y) / 3 = -36 / 3#
#or, 3x - 2y = -12 ......................(4)#

Since, both the equations in the question are the same, all the points are the solution points..

There is no unique solution.