Step 1: Take the linear equations 2x - 3y = 1 and 3x - 4y = 5
Step 2: Find ordered pairs (x, y) that satisfy each equation:
For 2x - 3y = 1:
x = -1, y = -2
x = 0, y = 1
x = 1, y = -1
For 3x - 4y = 5:
x = 1, y = -5
x = 2, y = -3
x = 3, y = -1
Step 3: Plot the points on graph paper:
For 2x - 3y = 1:
(-1, -2)
(0, 1)
(1, -1)
For 3x - 4y = 5:
(1, -5)
(2, -3)
(3, -1)
Step 4: Connect corresponding points to graph the lines, as shown below:
Figure 1(a):
y
-6
-5
-4
-3
-2
-1
0
1
2
3
4
5
6
7
x
-2 -1 0 1 2 3 4 5