## What is a one solution in algebra?

Description. You will be able to determine if an equation has one solution (which is when one variable equals one number), or if it has no solution (the two sides of the equation are not equal to each other) or infinite solutions (the two sides of the equation are identical).

## What is an example of 1 solution?

The linear equations in one variable is an equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution. For example, 2x+3=8 is a linear equation having a single variable in it. Therefore, this equation has only one solution, which is x = 5/2.

**Does one solution have the same slope?**

A system of linear equations has 1 solution if the lines have different slopes regardless of the values of their y-intercepts. For example, the following systems of linear equations will have one solution. We show the slopes for each system with blue. Notice how the slopes are different.

### What is a one solution graph?

One Solution: When a system of equations intersects at an ordered pair, the system has one solution. Infinite Solutions: Sometimes the two equations will graph as the same line, in which case we have an infinite number of solutions.

### How can you tell if an equation has one solution without solving it?

The constants are the numbers alone with no variables. If the coefficients are the same on both sides then the sides will not equal, therefore no solutions will occur.

**Which of the equation has only one solutions Why?**

options d has only one solution because zero neither be positive nor be negative so that it’s value always became unique .

## Does one solution have the same y-intercept?

If the y-intercepts are the same, the two equations represent the same line and there are INFINITELY MANY SOLUTIONS. 3b. If the y-intercepts are different, the two equations are distinct parallel lines and have NO SOLUTION.

## How do you know if a graph has one solution?

If the graphs of the equations intersect, then there is one solution that is true for both equations. If the graphs of the equations do not intersect (for example, if they are parallel), then there are no solutions that are true for both equations.