What is the solution to this equation?

A solution to an equation is a value of a variable that makes a true statement when substituted into the equation. The process of finding the solution to an equation is called solving the equation. To find the solution to an equation means to find the value of the variable that makes the equation true.

Which equation has a 5 as the solution?

x−5=3.

Which equation has the solution set {- 5 2 }?

The standard quadratic equation using the given set of solutions {5,2} is y=x2−7x+10 y = x 2 – 7 x + 10 .

Can an equation have 3 solutions?

Any cubic polynomial with three distinct factors, when set equal to zero, will have exactly three solutions. As such, there are infinitely-many equations of this sort.

What is the solution of the equation Ax B 0?

x=3 is the solution of the equation.

What is the solution of 3x 2 17?

5 is the solution of the equation 3x + 2 = 17.

How many solutions does the equation have?

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.

Which equation has only one solution?

A quadratic equation only has one solution if the discriminant is zero.

How do you find three solutions of an equation?

To find three solutions to this equation, substitute three different numbers and calculate the result for y :
  1. Set x=0. y=9x−4 becomes: y=(9⋅0)−4. y=9−4. y=5. The first solution is: (0,5)
  2. Set x=10. y=9x−4 becomes: y=(9⋅10)−4. y=90−4. y=86. The second solution is: (10,86)
  3. Set x=−10.

Does equation have many solutions?

A system of linear equations usually has a single solution, but sometimes it can have no solution (parallel lines) or infinite solutions (same line). This article reviews all three cases. One solution. A system of linear equations has one solution when the graphs intersect at a point.

How many solutions are there?

There can be zero solutions, 1 solution or infinite solutions–each case is explained in detail below. Note: Although systems of linear equations can have 3 or more equations,we are going to refer to the most common case–a stem with exactly 2 lines.

Which of the equation has two solutions?

quadratic equation
A quadratic equation with real or complex coefficients has two solutions, called roots.

Which system of equation has no solution?

inconsistent system of equations
An inconsistent system of equations is a system of equations with no solution.

Which equations have 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 one solution?

Linear Equations With one Solution

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. Example 2: Consider the equation 9(x – 1) – 35 = 8x + 37. On solving we have 9x – 9 – 35 = 8x + 37.

How do you know how many solutions an equation has?

A linear equation in two variables is an equation of the form ax + by + c = 0 where a, b, c ∈ R, a, and b ≠ 0. When we consider a system of linear equations, we can find the number of solutions by comparing the coefficients of the variables of the equations.

How many solutions does a quadratic equation have?

2 solutions
As we have seen, there can be 0, 1, or 2 solutions to a quadratic equation, depending on whether the expression inside the square root sign, (b2 – 4ac), is positive, negative, or zero. This expression has a special name: the discriminant.

How do you find no solution?

Correct answer:

The coefficients are the numbers alongside the variables. The constants are the numbers alone with no 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?

As an example, suppose we look at 3x = 12. This equation is true when x = 4, but false when x is any other value. The second equation, an identity is always true, no matter what value replaces the variable. … This equation has no solution.

What are the solutions to the system?

The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently. In this example, the ordered pair (4,7) is the solution to the system of linear equations.

How do you do solutions in math?

A solution is any value of a variable that makes the specified equation true. A solution set is the set of all variables that makes the equation true. The solution set of 2y + 6 = 14 is {4}, because 2(4) + 6 = 14. The solution set of y2 + 6 = 5y is {2, 3} because 22 + 6 = 5(2) and 32 + 6 = 5(3).