How do you solve the following system?: #x +3y = 3 , 2x +4y = -2#

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Answer 1 · 2018-07-27T15:30:52

#x=-9, \ \ \ y=4#

Given equations

#x+3y=3\ ......(1)# &

#2x=4y=-2#

#x+2y=-1\ .........(2)#

Subtracting (2) from (1), we get

#x+3y-(x+2y)=3-(-1)#

#y=4#

setting the value of #y# in (1), we get

#x+3(4)=3#

#x=3-12#

#x=-9#

Hence the solution is #x=-9, \ \ \ y=4#