Solve the following system of equations graphically on the set of axes below.
y, equals, start fraction, 2, divided by, 3, end fraction, x, plus, 3
y=
3
2
x+3
y, equals, minus, start fraction, 4, divided by, 3, end fraction, x, minus, 3
y=−
3
4
x−3
The two equations are:
1. y = (2/3)x + 3
2. y = (-4/3)x - 3
Plotting these two equations on the set of axes will give us the graph where they intersect, which is the solution to the system of equations.
The graph is as follows:
image: https://quicklatex.com/cache3/c6/ql_2f1b192a26564b93eefddff424dbeec6_l3.png
The point where the two lines intersect is approximately (-6, -1). Therefore, the solution to the system of equations is x = -6 and y = -1.