How do you solve the system of equations #2x + 2y = 130# and #x - y = 35#?

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Answer 1 · 2017-05-08T20:08:30

#x=50#

#y=15#

Using the second equation, solve for #x# by adding #y# to both sides:
#x=35+y#

Substitute this quantity in for #x# in the first equation:
#2(35+y)+2y=130#

Distribute:
#70+2y+2y=130#

Simplify by adding like terms:
#70+4y=130#

Subtract #70# from both sides:
#4y=60#

Divide each side by #4#
#y=15#

Substitute #15# in for #y# in second equation:
#x-(15)=35#

Add #15# to both sides:
#x=50#