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 a system of equations has infinite solutions?
If the two lines have the same y-intercept and the slope
, they are actually in the same exact line. 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 do you tell if an equation has no solution or infinitely many?
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.
How do you check if an equation has no solution?
Solve the first equation
. Solve the second equation. If we substitute these two solutions back to the original equation, the results are positive answers and can never be equal to negative one. The answer is no solution.
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.
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.
Is 0 0 infinite or no solution?
Since 0 = 0 for any value of x, the system of equations
has infinite solutions
.
How do you tell the number of solutions an equation has?
- Substitute the number for the variable in the equation.
- Simplify the expressions on both sides of the equation.
- 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.
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 happens when an equation is 0 0?
2 Answers. If you end with 0=0 , then it means that the
left-hand side and the right-hand side of the equation are equal to each other regardless
of the values of the variables involved; therefore, its solution set is all real numbers for each variable.
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.
Why does 0 0 have infinite solutions?
For an answer to have an infinite solution, the two equations when you solve will equal 0=0 . … If you solve this your answer would be 0=0 this means
the problem has an infinite number of solutions
. For an answer to have no solution both answers would not equal each other.
What is it called when 0 0 in math?
0/0 is
undefined
. If substituting a value into an expression gives 0/0, there is a chance that the expression has an actual finite value, but it is undefined by this method. We use limits (calculus) to determine this finite value. But we can’t just substitute and get an answer.
What is the value of 0 by 0?
Zero to the power of zero, denoted by 0
0
, is a mathematical expression with
no agreed-upon value
. The most common possibilities are 1 or leaving the expression undefined, with justifications existing for each, depending on context.
What value of B will cause the system to have an infinite number of solutions?
b = 8
will cause the system to have an infinite number of solutions.
