Question

Solve the following system of equations graphically on the set of axes below.y = -3x - 5x - y = -3Plot two lines by clicking the graph.

Answer 1

y = -3x - 5 Eqn(1)

x - y = -3 Eqn(2)

First we are going to isolate y on each equation to find some points to plot the graphs.

Eqn(1)

As it is not needed to isolate y, we find some points to plot.

x y

0 -3(0) - 5 = -5

1 -3(1) - 5 = -8

-1 -3(-1) - 5 = -2

Points for plotting: (0,-5), (1,-8), (-1,-2)

Eqn(2)

Isolating y, we have:

x = y - 3 (Subtracting y from both sides of the equation)

x + 3 =y (Adding 3 to both sides of the equation)

Then, we find some points to plot

x y

0 (0) +3 = 3

1 (1) +3 = 4

-1 (-1) +3 = 2

Plotting the equations we have:

Based on the graph the solution would be: x=-2 and y=1, as it is the intersection point.