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Infinitely many solutions refer to a situation in mathematical equations where there are countless valid solutions that satisfy the equation. This typically occurs in linear equations when the equations represent the same line or plane, leading to multiple points of intersection.
Graphically, infinitely many solutions occur when two or more lines coincide, meaning they lie on top of one another. To determine if a system has infinitely many solutions, one can use methods like substitution or elimination to see if the equations simplify to the same equation.
Infinitely many solutions refer to a situation in a system of equations where there are countless combinations of values that satisfy all equations simultaneously. This occurs when the equations represent the same line or plane in space, indicating that they are dependent and not independent.
11 wrz 2018 · When we use infinitely many, we mean the set under consideration is not finite. It does not address the question that whether the set is countable or not. We can see it as opposed to finitely many which means the set is finite.
What are Infinite Solutions? The total number of variables in an equation determines the number of solutions it will produce. And based on this, solutions can be grouped into three types, they are: Unique Solution (which has only 1 solution). But how would you know if the solution to your solved equation is infinite?
\(x =\) Infinitely Many Solutions: where x represents all real numbers or infinitely many solutions. Example: \(3 = 3\), \(x =x \), \(-7 = -7\) \(x =\) No Solution: no solution is when the statement is false.
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.
