How do you solve the following system of equations?: #2x + y = 8 , -2x +3y=12#?

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Answer 1 · 2018-07-19T15:01:36

#x=3/2, \ \ y=5#

The given equations

#2x+y=8\ ...........(1)#

#-2x+3y=12\ ...........(2)#

Adding (1) & (2) as follows

#2x+y+(-2x+3y)=8+12#

#4y=20#

#y=20/4=5#

setting #y=5# in (1), we get

#2x+5=8#

#2x=3#

#x=3/2#
The solution of given linear equations is #x=3/2, \ y=5#