To solve this system of equations by graphing, you need to plot the graphs of the two equations on the same coordinate plane and find the point where they intersect.
First, plot the graph of the equation y = -x + 5.
To plot this graph, start by finding two points on the line. You can do this by setting x = 0 and solving for y, and setting y = 0 and solving for x.
When x = 0:
y = -0 + 5
y = 5
So, the point (0,5) is on the line.
When y = 0:
0 = -x + 5
x = 5
So, the point (5,0) is on the line.
Now, plot these two points and draw a line through them.
Next, plot the graph of the equation y = 2x - 8.
When x = 0:
y = 2(0) - 8
y = -8
So, the point (0,-8) is on the line.
When y = 0:
0 = 2x - 8
2x = 8
x = 4
So, the point (4,0) is on the line.
Now, plot these two points and draw a line through them.
The two graphs should intersect at a point. This point is the solution to the system of equations. In this case, the point of intersection is approximately (3,2).
Therefore, the solution to the system of equations by graphing is x = 3, y = 2.
Solve the following system of equations by graphing: y= -x + 5 and y = 2x = -8
1 answer
1 answer