Solve the system by graphing
y=5x-7
y=-4x+2
To graph the system, we need to plot the points that satisfy both equations on the same graph.
First, let's find some points that satisfy the first equation, y = 5x - 7. We can choose any values for x and find the corresponding y-values.
When x = 0, y = 5(0) - 7 = -7
When x = 1, y = 5(1) - 7 = -2
When x = -1, y = 5(-1) - 7 = -12
Plotting these points on a graph, we get:
Next, let's find some points that satisfy the second equation, y = -4x + 2. Again, we can choose any values for x and find the corresponding y-values.
When x = 0, y = -4(0) + 2 = 2
When x = 1, y = -4(1) + 2 = -2
When x = -1, y = -4(-1) + 2 = 6
Plotting these points on the same graph, we get:
Now, we can see that the lines of the two equations intersect at the point (-1, 6). This is the solution to the system of equations.
Therefore, the solution to the system of equations y = 5x - 7 and y = -4x + 2 is (-1, 6).