SOLVING SIMULTANEOUS EQAUTIONS ALGEBRAICALLY WORKSHEET

Find the simultaneous solution of the following pairs of equations using an algebraic method:

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 - 4

y = x - 4

Solution

Problem 5 :

y = -x + 4

y = 2x - 8

Solution

Problem 6 :

y = 2x + 3

y = 2x - 2

Solution

Problem 7 :

y = 3x + 7

y = -x - 6

Solution

Problem 8 :

y = -2x + 3

y = -2x + 6

Solution

Problem 9 :

y = 5 - 3x

y = 10 - 6x

Solution

Answer Key

1)  x = 4 and y = 5

2)  x = -1 and y = 3

3)  x = 1 and y = 3

4)  x = 0 and y = -4

5) x = 4 and y = 0

6) No solution

7)  x = -13/4 and y = -11/4

8)  no solution

9)  x = 5/3 and y = 0 

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