Answer
Usng the points obtained using intercepts, we have plotted the lines and we can see that the point of intersection of the two lines is (-4, 5)
This means that the solution is
(x, y) = (-4, 5)
x = -4
y = 5
Step-by-step explanation
The way to solve a system of equations by graphing is to plot the two equations on the same graph and the solution would be the point where the two lines cross each other.
So, to plot each of the lines, we will use intercepts
x - y = -9
when x = 0
0 - y = -9
-y = -9
y = 9
First point on the line is (0, 9)
when y = 0
x - 0 = -9
x = -9
Second point on the line is (-9, 0)
The two points we will connect to draw this line are (0, 9) and (-9, 0)
3x + 4y = 8
when x = 0
3(0) + 4y = 8
4y = 8
Divide both sides by 4
(4y/4) = (8/4)
y = 2
First point on this line is (0, 2)
when y = 0
3x + 4(0) = 8
3x = 8
Divide both sides by 3
(3x/3) = (8/3)
x = 2.67
Second point on the line is (2.67, 0)
The two points we will connect to draw this line are (0, 2) and (2.67, 0)
The graph is presented under 'Answer' above and the solutions are discussed.
The first equation is represented with a red line while the second equation is presented with a blue line.
Hope this Helps!!!