Given the system of equations:
y = x - 4
y = -x + 0
Let's solve the system of equations by graphing.
To solve the system, by graphing let's plot both equations on the graph. The point where both lines meet will be the solution to the system.
Let's plot the graphs using points.
• Make 3 points from equation 1.
y = x - 4
When x = 1
Substitute 1 for x and solve for y
y = 1 - 4 = -3
When x = 0
y = 0 - 4 = -4
When x = 4
y = 4 - 4 = 0
Thus, we have the points:
(x, y) ==> (1, -3), (0, -4), (4, 0)
Plot the points on the graph and connect the points using a straight edge.
• Equation 2.
y = -x + 0
When x = 1
y = -1 + 0 = -1
When x = 0
y = -0 + 0 = 0
When x = 4
y = -4 + 0 = -4
We have the points:
(x, y) ==> (1, -1), (0, 0), (4, -4)
Plot the points on the graph and connect the points using a straight edge.
We have the graph below:
We can see both lines meet at the point:
(x, y) ==> (2, -2)
Therefore, the solution to the system is:
x = 2, y -2
In point form, the solution is:
(2, -2)
ANSWER:
(2, -2)