Linear Equations
Solving a linear equation is to find the value of a variable we isolate the variable step by step until only the variable is on one side of the equation and only a constant is on the other.
When solving linear equations, the most important thing to remember is that the equation will remain equivalent to the original equation only if we always treat both sides equally
Whenever we do something to one side, we must do the exact same thing to the other side
- Solve the linear equation, then plug the value of the variable into the expression to evaluate it.
- Find the relationship between the equation and the expression, then evaluate the expression without solving for the variable.
Inequalities
Solving linear inequalities are similar to those for solving linear equations. For inequalities, we have to pay attention to the direction of the inequality signs.
When the coefficient of xxx is positive, the inequality sign maintains its direction when we divide by the coefficient to isolate x.
