FINDING THE POINT OF INTERSECTION OF TWO LINES WORKSHEET

For each of the following pair of equations find the points of intersection :

Problem 1 :

x = 5, y = -3

Problem 2 :

2x + 3y = 12, x = -3

Problem 3 :

5x – 12y = 6, y = 2

Problem 4 :

y = 3x – 1, 6x – 2y = 11

Problem 5 :

-3x + 5y = 11, x = 5y – 14

Problem 6 :

2x – y = 4, y = -3x - 9

Problem 7 :

4x – 3y = -14, y = 2x + 5

Problem 8 :

y = x + 1, 2x – 2y = -2

Problem 9 :

y = 2x + 3, y = 5x + 6

Answer Key

1) (5, -3).

2) (-3, 6).

3) (6, -2).

4) no intersection point.

5) (1.5, 31/10).

6) (-1, -6).

7) (-1/2, 4).

8) infinitely many solution.

9) (-1, 1).