What are solutions in math?

A solution is any value of a variable that makes the specified equation true. A solution set is the set of all variables that makes the equation true.

What is an example of a solution math?

A solution to an equation is a number that can be plugged in for the variable to make a true number statement. 3(2)+5=11 , which says 6+5=11 ; that’s true! So 2 is a solution.

How do you find the solution in math?

Determine whether a number is a solution to an equation.
  1. Substitute the number for the variable in the equation.
  2. Simplify the expressions on both sides of the equation.
  3. Determine whether the resulting equation is true. If it is true, the number is a solution. If it is not true, the number is not a solution.

What is the meaning of one solution in math?

What is the definition of one solution? no matter what constant is substituted in for the variable, the equation is ALWAYS true.

What are the 3 types of solutions in math?

You can have 3 different type of answers: One Solution. No Solution. Infinite Solution.

What is solution and example?

A solution is a type of homogeneous mixture that is made up of two or more substances. … Some examples of solutions are salt water, rubbing alcohol, and sugar dissolved in water. When you look closely, upon mixing salt with water, you can’t see the salt particles anymore, making this a homogeneous mixture.

What Is No solution math?

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. … Note that we have variables on both sides of the equation.

What is an example of an equation with no solution?

The last type of equation is known as a contradiction, which is also known as a No Solution Equation. This type of equation is never true, no matter what we replace the variable with. As an example, consider 3x + 5 = 3x – 5. This equation has no solution.

How many solutions are there?

If solving an equation yields a statement that is true for a single value for the variable, like x = 3, then the equation has one solution. If solving an equation yields a statement that is always true, like 3 = 3, then the equation has infinitely many solutions.

What is an example of a one solution equation?

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.

What does infinite solution look like?

We can identify which case it is by looking at our results. If we end up with the same term on both sides of the equal sign, such as 4 = 4 or 4x = 4x, then we have infinite solutions. If we end up with different numbers on either side of the equal sign, as in 4 = 5, then we have no solutions.

How do u know if an equation has no solution?

The coefficients are the numbers alongside the variables. 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.

What is the solution to 4 2x 6 =- 24?

Summary: The two solutions to the equation -4|-2 + 6| = -24 are x = 0 and x = 6.

How many solutions do parallel lines have?

When the lines are parallel, there are no solutions, and sometimes the two equations will graph as the same line, in which case we have an infinite number of solutions.

What is the solution if 0 0?

For an answer to have an infinite solution, the two equations when you solve will equal 0=0 . Here is a problem that has an infinite number of solutions. If you solve this your answer would be 0=0 this means the problem has an infinite number of solutions.

How many solutions does 3 3 have?

Summary. When a problem has infinite solutions, you’ll end up with a statement that’s true no matter what. For example: 3=3 This is true because we know 3 equals 3, and there’s no variable in sight. Therefore we can conclude that the problem has infinite solutions.

What are solutions in a graph?

The solution of such a system is the ordered pair that is a solution to both equations. … To solve a system of linear equations graphically we graph both equations in the same coordinate system. The solution to the system will be in the point where the two lines intersect.

How many solutions does a straight line have?

A system of linear equations usually has a single solution, but sometimes it can have no solution (parallel lines) or infinite solutions (same line).