Question: What Is An Equation With No Solution?

How do you know an equation has no solution?

Summary.

If the equation ends with a false statement (ex: 0=3) then you know that there’s no solution.

If the equation ends with a true statement (ex: 2=2) then you know that there’s infinitely many solutions or all real numbers.

Whatever number we put in for the variable x, it’ll never give us a true statement..

What does 0 0 mean in a equation?

1 Expert Answer If the elimination produces the equation 0=0, then the two equations are for the same line. This means that there are an infinite number of solutions.

What is an example of one solution?

This is the normal case, as in our example where the equation 2x + 3 = 7 had exactly one solution, namely x = 2. The other two cases, no solution and an infinite number of solutions, are the oddball cases that you don’t expect to run into very often.

What are infinitely many solutions?

A system has infinitely many solutions when it is consistent and the number of variables is more than the number of nonzero rows in the rref of the matrix. For example if the rref is has solution set (4-3z, 5+2z, z) where z can be any real number.

How do you know if there are 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 is an example of an equation with no solution?

For example, check and see if x = 3 will solve the equation. Clearly 3 never equals 5, so x = 3 is not a solution. The equation has no solutions. It was not helpful to have multiplied both sides of the equation by zero.

What is the condition of no solution?

If the lines are parallel, there is no solution for the pair of linear equations. If there is no solution of the given pair of linear equations, the equations are called inconsistent.

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 . … 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 makes an equation have one solution?

A system of linear equations has one solution when the graphs intersect at a point. No solution. A system of linear equations has no solution when the graphs are parallel. Infinite solutions.

Which equation has only one solution?

When a does not equal c, we use inverse operations to solve the linear equation: We see that this is the only value of x that satisfies the equation, so the equation has only one solution. When a = c and b does not equal d, we can rewrite the equation ax + b = cx + d as ax + b = ax + d.

What is the value of 0 by 0?

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 two equations have no solution?

System of Linear Equations with No Solutions When two equations have the same slope but different y-axis, they are parallel. Since the two equations never intersect, the system has no solutions.

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.