Answer
Y can be any real number.
The function between the x and y is:
$x=\frac{1+3y}{2}$
Work Step by Step
1) $2x-3y=1$
2) $6x-9y=3$
If we multiply the first equation by 3, we get:
1) $3\times(2x-3y)=3\times1$
1) $6x-9y=3$
Therefore the two equations are equivalent, resulting in:
subtracting equation (1) from equation (2):
$0=0$
Therefore, y can be any real number.
The function between x and y can be given by solving any of the two equations:
1) $2x-3y=1$
$2x=1+3y$
$x=\frac{1+3y}{2}$
By graphing both equations, we expect to have only one line on the graph. See the picture attached.
