Answer
No solutions.
Work Step by Step
To solve a pair of equations in two variables graphically, first put each equation in function form, $y=f(x)$.
1. Graph the equations on a common screen.
2. Find the points of intersection of the graphs.
The solutions are the x- and y-coordinates of the points of intersection.
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$\begin{array}{ll}
2x+6y=0\ \ /-2x & -3x-9y=18\ \ /+3x\\
6y=-2x\ \ /\div 6 & -9y=3x+18\ \ /\div(-9)\\
y=-\frac{1}{3}x & y=-\frac{1}{3}x-2\\
&
\end{array}$
1. Graphed with desmos.com online calculator (see below)
2. There are no intersection points,
the lines are parallel.
No solutions.
