How do you solve #x-4y=-8# and #-3x+12y=24#?

2 Answers
Aug 4, 2015

Answer:

There is no unique solution for the given equation(s)

Explanation:

[1]#color(white)("XXXX")##x-4y=-8#
and
[2]#color(white)("XXXX")##-3x+12y=24#

are actually the same equation
#color(white)("XXXX")##color(white)("XXXX")#([1} multiplied by #(-3)# is the same as [2])

They are not 2 intersecting equations.

Aug 4, 2015

Answer:

You have #oo# solutions.

Explanation:

The second equation is equal to the first one multiplied by #-3#; so basically you have two equations representing two coincident lines (technically one on top of the other) so your system has #oo# solutions corresponding to the #oo# number of common points between the two lines!