Use the graphing method to solve the system of linear equations
Y equals negative X +3 and Y equals X minus one
(-1,2)
(0,3)
(1,0)
(1,2)
To solve the system of equations using the graphing method, we need to plot the two equations on a graph and find the point of intersection.
1. Plot the line for Y = -X + 3:
- When X = 0, Y = 3. So, the point (0,3) is on the line.
- When Y = 0, X = 3. So, the point (3,0) is on the line.
2. Plot the line for Y = X - 1:
- When X = 0, Y = -1. So, the point (0,-1) is on the line.
- When Y = 0, X = 1. So, the point (1,0) is on the line.
Now, plot both lines on the same graph. The two lines intersect at the point (1,2).
Therefore, the solution to the system of equations Y = -X + 3 and Y = X - 1 is X = 1 and Y = 2.