How do you solve the system of equations #10x+2y=94# and #5x+2y=59#?

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Answer 1 · 2016-12-06T06:09:16

#x=7# and #y=12#

#10x+2y=94#
#5x+2y=59#

Subtract the second equation from the first equation.

#10x+2y=94#
#-5x-2y=-59#

#color(red)(5x=35)#

Divide both sides by #5#.

#x=7#

In the second equation, substitute #x# with #7#.

#5x+2y=59#

#(5xx7)+2y=59#

#35+2y=59#

Subtract #35# from both sides.

#2y=24#

Divide both sides by #2#.

#y=12#