How do you solve the system of equations #7x + y = 184# and #7y + x = 88#?

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Answer 1 · 2018-03-19T13:20:23

#x = 25#
#y = 9#

Let's solve for one variable, first.

#7x + y = 184#

#y = -7x + 184#

Plug in #y# to find #x#.

#7(-7x + 184) + x = 88#

#-49x + 1288 + x = 88#

Combine like terms.

#-48x + 1288 = 88#

Simplify

#-48x = -1200#

#x = 25#

Solve for #y# by plugging in #x#.

#7(25) + y = 184#

#175 + y = 184#

#y = 9#