How do solve the following linear system?: # -6x+5y=1 , 5x-5y=10 #?

1 Answer
Vocaloid
May 14, 2018

#(-11,-13)#

Explanation:

Since you have #+5y# in one equation and #-5y# in the other equation, you can add both equations to cancel out the y terms and solve for x.

#-6x + 5x=-x#
#5y-5y=0#
#1+10=11#
therefore
#-x=11#
multiplying both sides by -1:
#x = -11#

plugging this back into the first equation:

#-6(-11)+5y=1#
#66+5y=1#
subtracting 66 from both sides:
#5y=-65#
divide both sides by 5:
#y=-13#

putting the x-values and y-values into one point gives:
#(-11,-13)#
as the solution

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