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

Nov 28, 2016

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

#### Explanation:

Solve the system of equations:

$x = 2 y$
$3 x + 2 y = 24$

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

$3 x + x = 24 \implies 4 x = 24 \implies x = 6$

Calculate $y$ from the first:

$6 = 2 y \implies y = 3$

The point were the curves meet is $P = \left(6 , 3\right)$ whose $y$ coordinate is $y = 3$