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Do-Now 02-10-2016 On your notes worksheet!!! Graph: 3x + y = 6 m = b =
Objective: Solve a system of equations using graphing.
Definitions: System of equations: A set of two or more linear equations in the same variables. Solution: An ordered pair of numbers that is a solution to each equation in the system.
Checking Solutions: Example: Tell whether the ordered pair is a solution of the system of linear equations 1. x + y = 6Ordered Pair: (5, 1) 2x – y = 9
2. y = -x + 2 Ordered Pair: (-1, -5) y = 3x – 2 Checking Solutions: Example: Tell whether the ordered pair is a solution of the system of linear equations
Steps to Solving a System of Equations using GRAPHING: A. Graph each equation in the same coordinate plane. B. Estimate the point of intersection. C. Check the point from Step B in each equation.
How it works!! Answer: (3, 2)
Examples: Solve by graphing: 3.
Examples: Solve by graphing: 4.
Examples: Solve by graphing: 5.
Solve Using the Graphing Calculator 6.
Solve Using the Graphing Calculator 7.
Word Problem: 8. For the first tour on Monday, a museum sells 4 child tickets and 8 adult tickets for $80. For the second tour, the museum sells 6 adult tickets for $48. Find the price of one child ticket and the price of one adult ticket.
5-1 Solving Systems by Graphing
EXAMPLE 3 Write an equation for a function
7 = 7 SOLUTION EXAMPLE 1 Check the intersection point Use the graph to solve the system. Then check your solution algebraically. x + 2y = 7 Equation 1.
Chapter 5: Systems of Linear Equations Section 5.1: Solving Systems of Linear Equations by Graphing.
Monday, March 23 Today's Objectives
Solving Systems of Equations by Graphing
Warm-Up 5 minutes 1) On the coordinate plane, graph two lines that will never intersect. 2) On the coordinate plane, graph two lines that intersect at.
WARM UP LINEAR EQUATIONS Solve the equation (Lesson 3.1, 3.4) 1.5(2x + 4) = 2(10 + 5x) 2.2x + 6(x + 1) = -2 3.
Warm-up 1.Find f(12). 2.f(x)=140. Find x.. Answer 1.f(12) = 1 2. f(9) = 140.
Notes Over 2.6 Checking Solutions of Inequalities Check whether the given ordered pairs are solutions of the inequality.
GRAPH LINEAR INEQUALITIES IN TWO VARIABLES January 22, 2014 Pages
Free Powerpoint Templates Page 1 Free Powerpoint Templates 3.1 Solving Linear Systems by Graphing.
Graphing Linear Systems Math Tech II Everette Keller.
Monday, March 23 Solve system of linear equations by graphing. Check consistency and dependency of system of equations by graphing.
EXAMPLE 4 Solve a multi-step problem A business rents in-line skates and bicycles. During one day, the business has a total of 25 rentals and collects.
Topics: Topic 1: Solving Linear Equations Topic 2: Solving Quadratic Equations Topic 3: Solving Proportions involving linear and quadratic functions. Topic.
Prerequisite Skills VOCABULARY CHECK Copy and complete the statement. 2. The graph of a linear inequality in two variables is the set of all points in.
3.1 Graphing Systems of Equations Objective – To be able to solve and graph systems of linear equations. State Standard – 2.0 Students solve systems of.
7.2 Solving Linear Systems by Substitution. Steps: 1. Solve one of the equations for one of the variables. 2.Substitute that expression into the other.
Notes Over 3.1 Solving a System Graphically Graph the linear system and estimate the solution. Then check the solution algebraically.
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