How do you solve a system of equations with infinite solutions?

Conditions for Infinite Solution 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 complete an equation so it has infinitely many 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.

When solving a system of equations when do you have infinite solutions and when do you have no solution?

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.

How can you tell a system has infinitely many solutions when solving using elimination?

A system of linear equations has no solution when the graphs are parallel. Infinite solutions. A system of linear equations has infinite solutions when the graphs are the exact same line.

Which system type is a linear system with infinitely many solutions?

dependent system
A dependent system has infinitely many solutions. The lines are coincident. They are the same line, so every coordinate pair on the line is a solution to both equations.

What about infinitely many and no solution systems of equations can you have those as possible solutions by using the substitution method explain?

When a system has no solution or an infinite number of solutions and we attempt to find a single, unique solution using an algebraic method, such as substitution, the variables will cancel out and we will have an equation consisting of only constants. If the equation is untrue then the system has no solution.

Is infinitely many solutions consistent?

If a system has at least one solution, it is said to be consistent . If a consistent system has exactly one solution, it is independent . If a consistent system has an infinite number of solutions, it is dependent . When you graph the equations, both equations represent the same line.

How many solutions will each system of linear?

A system of linear equations may have infinitely many solutions. This occurs when each equation refers to the same line. Check for common factors!

What does infinite solutions mean in math?

It is possible to have more than solution in other types of equations that are not linear, but it is also possible to have no solutions or infinite solutions. No solution would mean that there is no answer to the equation. Infinite solutions would mean that any value for the variable would make the equation true.