Solving Literal Equations 11116 Advanced AlgebraTrig Literal Equation

Solving Literal Equations 1/11/16 Advanced Algebra/Trig

Literal Equation- Definition • When asked to solve a literal equation, you are rearranging the terms in order to isolate one variable (get it alone) THIS SOLUTION IS AN EXPRESSION WITH VARIABLE, NOT JUST A NUMBER

Solving a literal equation • To solve a literal equation for a variable, you perform inverse operations , just as you would when solving a regular equation. Inverse Operations allow for terms to move across equal signs or “undo” an operation

Inverse Operations allow for terms to move across equal signs or “undo” an operation Operation Addition + Subtraction - Multiplication x Inverse Subtraction Addition + Multiplication x

Linear Systems of Equations 1/19/2016

System of Equations • A system of equations is a set of two or more equations with the same variables. Solution to a System of Equations The solution to a system of equations is the ordered pair or pairs that the two lines have in common.

Solving Systems of Equations: Substitution • When solving by substitution, one equation must be solved for a single variable. • This means one variable must be alone on one side of the equal sign by itself.

Solving Systems by Substitution • If your equations are not solved for one variable, you must solve one equation. • Once one equation is solved for a single variable, substitute the equivalent expression in for that variable in the other equation. • The solution MUST ALWAYS BE AN ORDERED PAIR