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

Infinite solutions systems.

This system has infinitely many solutions because both equations represents the same line. Notice that if we multiply the first equation by 2, it will results in the same equation than the second one.

No solution systems.

Let's multiply the first equation by -2 and sum

Notice that the result is false. Therefore, this system has no solution.

Let's multiply the first equation by -4 and sum

As you can see, the system has no solutions.

Single solutions system.

Let's multiply the first equation by -2 and sum

Now, we find the other value

The solution of the system is (4/5, 1/2). Therefore, the system has one solution.

Let's multiply the first equation by 2 and sum

Then, we find the other value

So, the system has a solution, which is (7/3 , 5/2).

Let's multiply the first equation by -5 and sum

Then, we find the other value

Therefore, the system has one solution, which is (1.5, 4.5).

Step-by-step explanation: