SOLVING SYSTEM OF EQUATIONS BY SUBSITUTION WORKSHEET

Use the method of substitution to solve:

Problem 1 :

x = 1 + 2y

2x + y = 17

Solution

Problem  2 :

y + 4x = 6

y = 2x + 3

Solution

Problem 3 :

x = 2y - 6

2x + y = 8

Solution

Problem 4 :

3x - 2y = 5

y = 3 - 4x

Solution

Problem 5 :

x = 1 - 2y

3x + y = 13

Solution

Problem 6 :

x = 3y + 12

3x - 2y = 8

Solution

Problem 7 :

y = 3x - 2

2x - 5y = 27

Solution

Problem 8 :

x = 4y - 1

3x + 4y = -1

Solution

Problem 9 :

y = 5x + 7

2x - 3y = 8

Solution

Problem 1 :

y = -3x + 4

y = 4x - 10

Solution

Problem 2 :

y = -4x + 2

y = 6x - 8

Solution

Problem 3 :

x = - 2y

x - y = 9

Solution

Problem 4 :

y = 2x

-6x + 3y = 16

Solution

Problem 5 :

y = -3x

4x - 2y = -20

Solution

Problem 6 :

y = 3x - 4

4x + 3y = 1

Solution

Problem 7 :

y = x - 4

-4x - 6y = -16

Solution

Problem 8 :

x = 3y + 1

2x + 4y = 12

Solution

Problem 9 :

x = y - 4

-2x + 3y = 6

Solution

Problem 10 :

Next week your math teacher is giving a chapter test. The test will consist of 35 questions. Some problems are worth 2 points and some problems are worth 4 points. There are 20 questions worth 2 points. How many problems of 4 points are on the test?

Solution