What is the solution of the system? 5x+4y=-2 and x-4y=14

1 Answer
FRANK Z.
May 21, 2018

#(28 1/3, 2 5/6)#

Explanation:

We can make the second equation
#x=4y+14#
Substituting that value into the first equation, we get
#5*(4y+14)+4y=-2#
#24y=68#
#y=17/6#, or #2 5/6#
Substituting this value of #y# into either equation, we solve for #x# as #85/3#, or #28 1/3#

This gives us the solution #(28 1/3, 2 5/6)#

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