# Question: When Can An Equation Have Infinite Solutions?

## What happens when an equation is 0 0?

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 is the value of 0 by 0?

Again, any number multiplied by 0 is 0 and so this time every number solves the equation instead of there being a single number that can be taken as the value of 0/0. In general, a single value can’t be assigned to a fraction where the denominator is 0 so the value remains undefined.

## What does it mean when zero equals zero?

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.

## How do you know if an equation has one solution no solution or infinite solutions?

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 an example of no solution?

The solution x = 0 means that the value 0 satisfies the equation, so there is a solution. “No solution” means that there is no value, not even 0, which would satisfy the equation. … This is because there is truly no solution—there are no values for x that will make the equation 12 + 2x – 8 = 7x + 5 – 5x true.

## What does infinite solutions look like?

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.

## At what condition is the pair of equations Ax 2y 7 and 3x by 16?

The pair of equations ax + 2y = 7 and 3x + by = 16 represent parallel lines if. a = b. 3a = 2b.

## How do you know if an equation has infinite solutions?

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.

## What makes an infinite solution?

Infinite solutions would mean that any value for the variable would make the equation true. Let’s look at the following equation: Note that we have variables on both sides of the equation. So we’ll subtract from both sides to eliminate the on the right side of the equation.

## What is the formula for no solution?

Case 2. If (a1/a2) = (b1/b2) ≠ (c1/c2), then there will be no solution. This type of equation is called an inconsistent pair of linear equations.

## How do you know if a system has no solution?

A system has no solutions if the lines are parallel. When solving the system, if you get a false statement (a number equal to a different number) this means there are no solutions.

## What is the solution of given pair of equations?

For a given pair of linear equations in two variables, the graph is represented by two lines. If the lines intersect at a point, that point gives the unique solution for the two equations. If there is a unique solution of the given pair of equations, the equations are called consistent.

## Is 0 a free variable?

zero free variables are present. This is identical to requiring that the number n of variables equal the number of lead variables, or rank = n.

## Is 0 0 infinite or no solution?

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.

## What lines have infinite solutions?

A system of linear equations has infinite solutions when the graphs are the exact same line.