Well, there is a simple way to know if your solution is an infinite solution. An infinite solution has both sides equal . For example, 6x + 2y – 8 = 12x +4y – 16. If you simplify the equation using an infinite solutions formula or method, you’ll get both sides equal, hence, it is an infinite solution.
How do you know if an equation has multiple solutions?
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 you know how many solutions an equation has?
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 the formula for no solution?
If (a 1 /a 2 ) = (b 1 /b 2 ) ≠ (c 1 /c 2 ) , then there will be no solution. This type of equation is called an inconsistent pair of linear equations.
How do you tell if an equation has no solution?
When a problem has no solution you’ll end up with a statement that’s false . For example: 0=1 This is false because we know zero can’t equal one. Therefore we can conclude that the problem has no solution.
How do you know if two equations have no solution?
Explanation: When finding how many solutions an equation has you need to look at the constants and coefficients . The coefficients are the numbers alongside the variables. ... If the coefficients are the same on both sides then the sides will not equal, therefore no solutions will occur.
What is the formula for infinitely many solutions?
The equation 2x + 3 = x + x + 3 is an example of an equation that has an infinite number of solutions.
What is an example of no solution?
A system has no solution if the equations are inconsistent, they are contradictory. for example 2x+3y=10, 2x+3y=12 has no solution. is the rref form of the matrix for this system. ... The row of 0’s only means that one of the original equations was redundant. The solution set would be exactly the same if it were removed.
What does R mean in math?
In maths, the letter R denotes the set of all real numbers . ... Real numbers are the numbers that include, natural numbers, whole numbers, integers, and decimal numbers. In other words, real numbers are defined as the points on an infinitely extended line.
Is 0 0 infinite or no solution?
Since 0 = 0 for any value of x, the system of equations has infinite solutions .
What is symbol for no solution?
Sometimes we use the symbol Ø to represent no solutions. That symbol means “empty set” which means that the set of all answers is empty. In other words, there is no answer.
What are infinitely many solutions?
An equation can have infinitely many solutions when it should satisfy some conditions. ... In other words, when the two lines are the same line, then the system should have infinite solutions. It means that if the system of equations has an infinite number of solution, then the system is said to be consistent .
How many solutions does the pair of equations y 0 and y =- 7 have?
The pair of equation y=0 & y=-7 has no solution . The equation has parallel line have no solution.
What is an example of one solution?
9x – 8x = 37 + 35 + 9 = 80 which gives x = 80. Hence, the given linear equation has only one solution i.e. x = 80 . From the above examples, we see that the variable x does not disappear after solving & we say that the linear equation will have one solution if it is satisfied by exactly one value of the variable.
What does an infinite solution look like on a graph?
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. ... 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 does a weird R mean in math?
The set of real numbers is denoted using the symbol R or. and is sometimes called “the reals”. Real numbers can be thought of as points on an infinitely long line called the number line or real line, where the points corresponding to integers are equally spaced.
