Which equation has only one solution?

Linear Equations with One Solution Examples Example 1: Consider the equation 7x – 35 = 0. On solving we have 7x = 35 or x = 5. The above linear equation is only true if x = 5 and hence the given linear equation has only one solution i.e. x = 5.

Which equation only has 1 solution?

The equation that has 1 solution is IwI = 0 as the equation IwI = 0 states that the absolute value of w is equal to 0. The absolute value of any number is always non-negative, and it equals 0 only when the number itself is 0.

What is an example of a one solution equation?

Basically, an equation can have: Exactly one solution, like 2x = 6. It solves as x = 3, no other options. No solutions, like x+6 = x+9.

For which equation will there be exactly one solution?

A consistent linear system of equations will have exactly one solution if and only if there is a leading 1 for each variable in the system. If a consistent linear system of equations has a free variable, it has infinite solutions.

Which system of equations has one solution?

An independent system has exactly one solution pair (x,y) . The point where the two lines intersect is the only solution.

One Solution, No Solution, or Infinitely Many Solutions - Consistent & Inconsistent Systems

Which system of equations has no solution?

A system of linear equations that has no solution is called an inconsistent pair of linear equations.

What is an example of a no solution?

As an example, consider 3x + 5 = 3x - 5. This equation has no solution. There is no value that will ever satisfy this type of equation.

What is one real solution in math?

In mathematics, a real solution or real root refers to the solution of an equation that is a real number. A real number is a number that can be plotted on a number line. All numbers belong to the set of numbers known as the real number system.

Which two systems of equations have exactly one solution?

2 equations that have exactly one solution, are independent. If a systems of equations has at least 1 solution, it is consistent.

What system has at least one solution?

A consistent system of equations has at least one solution, and an inconsistent system has no solution.

How can you tell without graphing that there is only one solution?

1 Answer. A system of N linear equations with N unknown variables that contains no linear dependency between equations (in other words, its determinant is non-zero) will have one and only one solution.

What is a one solution equation graph?

If the graphs of the equations intersect, then there is one solution that is true for both equations. 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.

What is an example of a one to one function with solution?

f ( x ) = 2 x + 1 : Again, let f ( x 1 ) = f ( x 2 ) . That is, 2 x 1 + 1 = 2 x 2 + 1 . Solving this equation by subtracting one from both sides and then dividing by two yields: x 1 = x 2 . This shows that this function is indeed one-to-one.

What quadratic equation only has 1 solution?

Quadratic equations have one solution when the vertex of the parabola just touches the x axis,, or the line y=0. These equation can be written as (x+a)(x+a), because when we solve each of these brackets both give us the solution -a, so therefore there is only one solution.

Does a quadratic equation have one solution?

Answer and Explanation:

If the value of the is zero then the roots will be equal (only one solution). Thus, there will be one solution for the quadratic equation if the discriminant is zero.

Do all quadratic equations have one solution?

A quadratic equation with real coefficients can have either one or two distinct real roots, or two distinct complex roots. In this case the discriminant determines the number and nature of the roots.

Is 0 a real solution?

0 is a root, a solution, or a “zero”. Because 0 is a real number, we can call it a real root, a real solution, or a real zero.

Is 1 a real number solution?

Real numbers are numbers that include both rational and irrational numbers. Rational numbers such as integers (-2, 0, 1), fractions(1/2, 2.5) and irrational numbers such as √3, π(22/7), etc., are all real numbers.

Is 0 a real number solution?

Yes! Zero is a real number because it is an integer. Integers include all negative numbers, positive numbers, and zero. Real numbers include integers as well as fractions and decimals.

What is one solution no solution?

To find out if a solution has one solution, no solution or infinite solutions with the algebraic method, solve the equations algebraically. If you get a unique solution for each variable, there is one solution. If you get a contradiction like 0 = 1, then there is no solution.

Does 0 0 mean no solution?

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.

Which equation has 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 infinite solution in math?

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. Infinite represents limitless or unboundedness. It is usually represented by the symbol ” ∞ “.

What is a unique solution?

A unique solution means only one solution. If a linear equation has a unique solution means only one solution set exists for the equation. A system of linear equations a 1 x + b 1 y = 0 a 2 x + b 2 y = 0 has a unique solution, if a 1 a 2 ≠ b 1 b 2 . Suggest Corrections.

What is the no solution symbol?

So, if no solution exists to an equation or inequality, the notation used to show this is the no solution symbol: ∅