A multi-step equation sometimes has a solution.
In a multi-step equation, there are several mathematical operations that need to be performed in order to isolate the variable and solve for its value. Depending on the specific equation and the operations involved, there can be different scenarios:
1. A solution exists: This occurs when the equation simplifies to a true statement where both sides of the equation are equal. In this case, the variable can be isolated and a unique solution is obtained.
2. No solution exists: In some cases, the equation may simplify to a false statement where both sides of the equation are not equal. This indicates that no value of the variable can satisfy the equation. For example, if an equation leads to something like "2 = 3", there is no solution.
3. Infinite solutions exist: Sometimes, the equation simplifies into an identity where both sides are equivalent regardless of the value of the variable. This means that any value of the variable will satisfy the equation. For example, if an equation leads to something like "2x = 2x", there are infinitely many solutions.
Therefore, since there are cases where a multi-step equation has a solution, cases where it has no solution, and cases where it has infinitely many solutions, we can conclude that a multi-step equation sometimes has a solution.
Does a multi step equation ALWAYS, NEVER or SOMETIMES a have a solution?
EXPLAIN
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