How many solutions does this equation have calculator
How do you find out how many solutions an equation has?
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.
How many solutions does a no solution equation have?
Zero is always going to be equal to zero. So any of these statements are going to be true for any x you pick. So for this equation right over here, we have an infinite number of solutions.
How do you know if two equations have many 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.
How do you find the solution of an equation?
Determine whether a number is a solution to an equation.
- 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 many solutions does this system have?
A system of two equations can be classified as follows: If the slopes are the same but the y-intercepts are different, the system has no solution. If the slopes are different, the system has one solution. If the slopes are the same and the y-intercepts are the same, the system has infinitely many solutions.
What is a one solution equation?
Equations with one solution
Some equations have exactly one solution. In these equations, there is only one value for the variable that makes the equation true. You can tell that an equation has one solution if you solve the equation and get a variable equal to a number.
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 many solutions does this equation have T 4 )= 10 2t?
Answer: This equation has no solution. A a non-zero constant never equals zero.
How many solutions does this linear system have y 2x 5?
one solution
The linear system y = 2x – 5 and -8x – 4y = -20 has only one solution.
How many solutions does this linear system have Y =- 6x 2?
The linear system of equations y = -6x + 2 and -12x – 2y = -4 has infinitely many solutions.