The graphs of #x=2 y# and #3x +2 y =24# meet at a point what is the y coordinate of that point?

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Answer 1 · 2016-11-28T13:02:29

The point where the curves meet belongs to both curves, so it solves the system of both equation.

Solve the system of equations:

#x=2y#
#3x+2y=24#

Substitute #2y# in the second equation using the first:

#3x + x =24 => 4x = 24 => x=6#

Calculate #y# from the first:

#6 = 2y => y=3#

The point were the curves meet is #P=(6,3)# whose #y# coordinate is #y=3#