To graph the system of equations, we will plot the two lines and find the point of intersection.
First, let's graph the equation y = -x + 5:
Plot the y-intercept at (0, 5).
Find the x-intercept by setting y = 0:
0 = -x + 5
x = 5
Plot the x-intercept at (5, 0).
Connect the two points to draw the line.
Next, let's graph the equation y = 2x - 4:
Plot the y-intercept at (0, -4).
Find the x-intercept by setting y = 0:
0 = 2x - 4
2x = 4
x = 2
Plot the x-intercept at (2, 0).
Connect the two points to draw the line.
Now, we have the two lines on the graph. The point where they intersect is the solution to the system of equations. In this case, the point of intersection is (3, 2).
Therefore, the solution to the system of equations is x = 3 and y = 2.
solve the following system of equations by graphing
y = -x + 5
y = 2x - 4
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