What is #x# and #y# in this system of equations: #5x+y = -1# and #y=6x+10# ?

1 Answer
Patrick H.
Oct 2, 2016

Substitute the second equation into the first equation.

Explanation:

The first equation now looks like this:

#5x+6x+10=-1#

Next, combine like terms (5x and 6x) to get #11x+10=-1#. Subtract 11 from each side to get #11x=-11# and divide each side by 11 to get #x=-1#.

Let's solve for #y# now. We're going to need to plug in our x-value into our second equation:

#y=6(-1)+10#
#y=-6+10#
#y=4#

We now have our two answers: #x=-1, y=4#

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