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 $y=3$

The graphs of x=2 yx=2 y and 3x +2 y =243x +2 y =24 meet at a point what is the y coordinate of that point?