Graph the system of equations on the coordinate plane below. 3x + 6y = 3 and 9x + 3y = 9.

Answer 1

To graph the system of equations, we first need to solve each equation for y.

For the equation 3x + 6y = 3, we can divide both sides by 3 to solve for y: y = 1/2 - 1/6x.

For the equation 9x + 3y = 9, we can divide both sides by 3 to solve for y: y = 3 - 3x/3 = 3 - x.

Now we can create a table to find points that satisfy each equation:

For the first equation:
x | y
-6 | 4
0 | 1/2
6 | 0

For the second equation:
x | y
0 | 3
3 | 0
6 | -3

Now we can plot these points on the coordinate plane and draw lines connecting them.

The graph is shown below:
{{graph(400,400,-10,10,-10,10,1/2 - 1/6x,3 - x)}}