SOLVING LINEAR EQUATIONS BY GRAPHICAL METHOD WORKSHEET

Solve each system by graphing. Show your answer both graphically and as an ordered pair.

Problem 1 :

y = x + 1

y = (-2/3)x – 4

Solution

Problem 2 :

y = -x – 4

y = x + 2

Solution

Problem 3 :

x – y = 4

3x + y = 4

Solution

Problem 4 :

3x – 2y = 4

3x + 2y = 8

Solution

Answer Key

1) 

2)

The point of intersection of these two lines is (-3, -1). So, the solution is (-3, -1).

3)

The point of intersection is (2, -2). So, the solution is (2, -2).

4) 

The point of intersection of these two lines is (2, 1). So, the solution (2, 1).

Find the simultaneous solution of the following pairs of equations using graphical methods:

Problem 1 :

y = x + 1

y = 2x - 3

Solution

Problem 2 :

y = x + 4

y = -x + 2

Solution

Problem 3 :

y = x + 2

y = -2x + 5

Solution

Problem 4 :

y = 2x - 2

y = 1 - x

Solution

Problem 5 :

y = 3x - 1

y = 2x - 2

Solution

Problem 6 :

y = -2x + 3

y = x + 6

Solution

Problem 7 :

y = -(4/3)x + 1

x = 3

Solution

Answer Key

1) Solution is (4, 5)

2) Solution is (-1, 3)

3) Solution is (1, 3)

4) Solution is (1, 0)

5) Solution is (-1, -4)

6) Solution is (-1, 5)

7) Solution is (3, -3)