Question

1. when is an equation true?

Explanation:

An equation is a mathematical statement with an equal sign (\(=\)) between two expressions. It is true when the value of the expression on the left - hand side of the equal sign is equal to the value of the expression on the right - hand side. For example, in the equation \(2 + 3=5\), the left - hand side \(2 + 3 = 5\) and the right - hand side is \(5\), so this equation is true. For an equation with a variable, like \(x+2 = 5\), when we substitute \(x = 3\) (because \(3+2=5\)), the equation becomes true. In general, an equation is true when the two sides (left and right of the equal sign) represent the same quantity or have the same value after evaluating the expressions (and, in the case of equations with variables, after substituting the appropriate values for the variables).

Answer:

An equation is true when the expression on the left - hand side of the equal sign (\(=\)) has the same value as the expression on the right - hand side. For equations with variables, it is true when the variable(s) are replaced with values that make the two sides equal.