Question

How can you tell equations with one solution

Answer 1

An equation with one solution can be identified by looking at the coefficients and constants in the equation. If the equation has a unique set of values for the variables that satisfy both sides of the equation, then it has one solution. Additionally, a linear equation with different coefficients for both variables and a non-zero determinant in the coefficient matrix will have a unique solution. In other words, if the equation has a consistent and unique solution when solved using algebraic methods, it only has one solution.