3.1 Solving Systems of Equations by Graphing Algebra II Date _____________ P.O.D. 1.) Solve for y: a) 3x – 7y = ­6 b) x + 2y = 11 1
System of Equations – when a set of two or more equations with the same variables is graphed on the same plane. * To solve a system of equations, we must find the ordered pair that satisfies (is a solution for) all equations. 3 ways to solve systems of equations: ü Graphing ü Substitution ü Elimination Ex 1) Graph to find the solution: * You can do this on the graphing calculator: Y=, Graph, 2nd TRACE, 5, ENTER, ENTER, ENTER 2
Ex 2) Graph to find the solution: Ex 3) Graph to find the solution: * We can use systems of equations to determine the “break even” point. Look at Ex #2 on p. 111 3