Which linear equations have an infinite number of solutions?
The equation 2x + 3 = x + x + 3 is an example of an equation that has an infinite number of solutions.
Are linear equations infinite solutions?
A system of linear equations has infinite solutions when the graphs are the exact same line.
How many solutions of a linear equation have?
A linear equation has 3 types of solutions. They are: 1) One solution. 2) Infinitely many solutions.
Can a system of linear equations have no solution or infinitely many solutions?
A system of two linear equations can have one solution, an infinite number of solutions, or no solution. If a system has no solution, it is said to be inconsistent . The graphs of the lines do not intersect, so the graphs are parallel and there is no solution.
How do you know if a linear system has infinite 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.
What does it mean to have infinite solutions?
It is impossible for the equation to be true no matter what value we assign to the variable. Infinite solutions would mean that any value for the variable would make the equation true.
Which systems of equations have infinite solutions?
An independent system of equations has exactly one solution (x,y) . An inconsistent system has no solution, and a dependent system has an infinite number of solutions.
What are infinitely many solutions?
Equations with an infinite number of solutions If a linear equation has the same variable term and the same constant value on both sides of the equation, it has infinitely many solutions.
Why do linear equations have infinite solutions?
The system of an equation has infinitely many solutions when the lines are coincident, and they have the same y-intercept. If the two lines have the same y-intercept and the slope, they are actually in the same exact line.