Question

solve the following system of equations graphically on the set of axes below.y=x+8 y=-2x-1 (draw it out and give me the solution)

Answer 1

(-3,5)

1) Let's plot those equations, setting a table to find the points

y =x +8

x| y

-1 7

0 8

1 9

y=-2x-1

x|y

-1 1

0 -1

1 -3

2) Now we can plot the graph, tracing lines crossing those points:

3) Since the common point between those lines is point (-3,5) then we can state this system is consistent and has one solution.