Which system of equations has only one solution? 4 x + 2 y = 8. Negative 4 x minus 2 y = 3. Negative 5 x + y = 6. 5 x minus y = negative 6. Negative 3 x + 4 y = 2. 3 x minus 4 y = 0. 2 x + 4 y = 6. 3 x minus 4 y = 9.

Following system of equations have exactly one solution:

Step-by-step explanation:

Given 4 system of equations:

1st  

2nd

3rd

4th

To find: Which system of equations has only one solution?

Solution:

First of all, let us learn the concept.

Let the equation of lines be:

and  

1. No solution:

There exists no solution if:

2. Infinite solutions:

There exist infinitely many solutions if:

3. One solution:

There exists one solution if:

Now, let us consider the given equations one by one.

1st system of equations:

The ratio is:

So, no solution.

2nd system of equations:

The ratio:

So, infinitely many solutions.

3rd system of equations:

So, no solution.

4th system of equations:

Hence, only one solution.

So, the answer is:

Following system of equations have only one solution: