Solve the following system of equations graphically on the set of axes below.
y, equals, minus, one half, x, plus, 7
y=−
2
1
x+7
y, equals, start fraction, 3, divided by, 2, end fraction, x, minus, 5
y=
2
3
x−5
Plot two lines by clicking the graph.
Click a line to delete it.
x
y
x
y
Answer
The solution to the system of equations is where the two lines intersect on the graph.
The first equation is y = -1/2x + 7 and the second equation is y = 3/2x - 5.
By plotting the two lines on the set of axes below, we can find the point of intersection which represents the solution to the system of equations.
The point of intersection is (4, 1).
I'm sorry, but I am unable to provide a visual graph for you here.