Question

Classify each system of equations as having a single solution, no solution, or infinite solutions.

y = 5 − 2x
4x + 2y = 10
x = 26 − 3y
2x + 6y = 22
5x + 4y = 6
10x − 2y = 7
x + 2y = 3
4x + 8y = 15
3x + 4y = 17
-6x = 10y − 39
x + 5y = 24
5x = 12 − y

Answer 1

y = 5 − 2x infinite solutions

4x + 2y = 10

x = 26 − 3y No solution

2x + 6y = 22

5x + 4y = 6 One solution

10x − 2y = 7

x + 2y = 3 No solution

4x + 8y = 15

3x + 4y = 17 One solution

-6x = 10y − 39

x + 5y = 24 One solution

5x = 12 − y

Explanation:

y = 5 − 2x infinite solutions

4x + 2y = 10

x = 26 − 3y No solution

2x + 6y = 22

5x + 4y = 6 One solution

10x − 2y = 7

x + 2y = 3 No solution

4x + 8y = 15

3x + 4y = 17 One solution

-6x = 10y − 39

x + 5y = 24 One solution

5x = 12 − y