Solve the system by graphing.
x – y = –3
x – y = 4
To solve for the system of equation by graphing. We can solve this in three ways
1. Assume values of x or y.
Im going to assume values of x then use the equation to solve for y.
x - y = -3 x - y = 4
x | y x | y
-1 | 2 -1 | -5
0 | 3 0 | -4
1 | 4 1 | -3
2. Find x and y-intercept or both equations.
Note: to find x intercept let y = 0 and for y-intercept, let x = 0.
x - y = -3 x - y = 4
if x = 0 y = 0 if x = 0 y = 0
0 - y = -3 x - 0 = -3 0 - y = 4 x - 0 = 4
y = 3 x = -3 y = -4 x = 4
3. Use slope intercept form y = mx + b to graph the equations.
m = slope, b = y-intercept
x - y = -3 x - y = 4
y = x + 3 y = x - 4
m = 1, b = 3 m = 1, b = -4
Here is the graph
The graph shows that the lines formed is a parallel.
Therefore, there is no solution.