Table of Contents

- 1 What equations has only one solution?
- 2 How do you know if a system of equations has one solution?
- 3 What is the solution to the system of equations y 1 3x 10 and 2x y 4?
- 4 Which one has exactly one solution?
- 5 Which systems of equations have no solution?
- 6 What does it mean to have one solution?
- 7 What are the common solutions found at home?
- 8 What is the solution to the system of equations?

## What equations has only one solution?

An independent system has exactly one solution pair (x,y) . The point where the two lines intersect is the only solution. An inconsistent system has no solution. Notice that the two lines are parallel and will never intersect.

## How do you know if a system of equations has one solution?

A system of linear equations has one solution when the graphs intersect at a point. No solution. A system of linear equations has no solution when the graphs are parallel.

**How do you find the common solution of two equations?**

This means counting horizontally the number of each x value, and vertically the number of each y value. Once you have four plot points for the first equation, draw a line between them. Do the same for the second equation, then draw a line between them as well. The intersection is the common solution.

### What is the solution to the system of equations y 1 3x 10 and 2x y 4?

y = 1/3x – 10 and 2x + y = 4. Summary: The solution to the system of equations y = 1/3x – 10 and 2x + y = 4 is (6, -8).

### Which one has exactly one solution?

consistent system

If a consistent system has exactly one solution, it is independent . If a consistent system has an infinite number of solutions, it is dependent . When you graph the equations, both equations represent the same line. If a system has no solution, it is said to be inconsistent .

**What does it mean when there is only one solution?**

So far we have looked at equations where there is exactly one solution. No solution would mean that there is no answer to the equation. It is impossible for the equation to be true no matter what value we assign to the variable. Infinite solutions would mean that any value for the variable would make the equation true.

## Which systems of equations have no solution?

An inconsistent system of equations is a system of equations that has no solution.

## What does it mean to have one solution?

**How many solutions does the system have Y − 2x − 4 and y 3x 3?**

therefore, there is only one solution to the pair of equations.

### What are the common solutions found at home?

Examples of household solutions would include the following:

- coffee or tea.
- sweet tea or coffee (sugar added to solution)
- any juice.
- saltwater.
- bleach (sodium hypochlorite dissolved in water)
- dishwater (soap dissolved in water)
- carbonated beverages (carbon dioxide dissolved in water is what gives sodas their fizz)

### What is the solution to the system of equations?

A solution to a system of equations is a set of values for the variable that satisfy all the equations simultaneously. In order to solve a system of equations, one must find all the sets of values of the variables that constitutes solutions of the system.

**What is the solution to the system of equations quizlet?**

A set of equations with the same variables. The solution of the system is the ordered pair that is a solution for all of the equations.