How do you solve the system of equations #5x - 2y = 2.25# and #7x - 4y = 3#?

1 Answer
Martha W.
Jul 25, 2017

See below

#x=0.5" "y=0.125#

Explanation:

To solve #5x−2y=2.25# and #7x−4y=3#, multiply the first equation by #-2# and add them.

#-2*(5x−2y=2.25)=-10x+4y=-4.5#

#-10x+4y=-4.5#
#" " 7x−4y=3" "#then add

you will get #" "-3x=-1.5#
divide both sides by #-3#
#x=0.5#

substitute this into one of the original equations
#5(0.5)−2y=2.25#
#2.5-2y=2.25#
subtract #2.5# from both sides to get #-2y=-0.25#
divide both sides by #-2#
#y=0.125#

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