How do you find the solution of the system of equations #2x-y=-1# and #3x+2y=-5#?

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Answer 1 · 2015-05-18T21:38:58

You an isolate one variable in one equation and then substitute its value in the other equation, as follows:

Let's isolate #y# in the first one.

#y=2x+1#

Now, substituting in the second:

#3x+2(2x+1)=-5#

#3x+4x+2=-5#
#7x=-7#
#x=-1#

If #x=-1# and #y=2x+1#, then #y=2(-1)+1=-1#.

Then, #x=y=-1#