Systems of linear equations test

Answer 1

1. Solve the following system of linear equations using substitution or elimination method:

2x + y = 7
x - 3y = -5

2. Determine the number of solutions for the following system of linear equations:

3x + 2y = 6
6x + 4y = 12

3. Solve the system of linear equations using matrices:

x + 2y = 5
3x - y = 3

4. Determine if the following system of linear equations is consistent or inconsistent:

2x + y = 8
4x + 2y = 16

5. Find the value of x and y in the following system of linear equations:

x + 3y = 9
2x - y = 3

6. Use the graphing method to solve the following system of linear equations:

4x - 3y = 12
2x + y = 5

7. Identify if the following system of linear equations is dependent or independent:

3x - 2y = 4
6x - 4y = 8

8. Solve the system of linear equations using the Gaussian elimination method:

2x + 3y = 8
4x - y = 3

9. Determine if the following system of linear equations has infinite solutions:

x + y = 5
2x + 2y = 10

10. Write the system of linear equations for the given word problem and solve it:

The sum of two numbers is 12 and their difference is 4. Find the numbers.