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 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 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
As a salesperson, you receive a monthly salary of $2000, plus a commission of 7% of sales. You are offered a new job at $2300 per month, plus 5% of sales
b.) Use your graphing calculator to find the sales amount that would give you the same monthly salary.
Monthly salary
a.) Write two linear equations that depict monthly salary.
Sales