What is the point of intersection is this system? 3x = y - 2 6x = 4 - 2y

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Answer 1 · 2018-02-25T18:13:41

It can be found by solving the equations simultaneously.

#3x=y-2#

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

#6x=4-2y#

#3x=2-y#

#y=2-3x" " " "(2)#

Comparing #(1)# and #(2)#

#3x+2=2-3x#

From here, #x# comes out to be #0#

#6x = 0#

#x=0#

Put #x=0# in #(1)#

#y = 3(0* + 2#

#y = 2#

So the point of intersection of these two lines is #(0,2)#.