We will determine1 how to write and solve Systems2 of Linear Equations. Notes with Whiteboard LEARNING OBJECTIVE Declare the Objective A read the objective to B. Definition 1 figure out 2 Two or more

ACTIVATE PRIOR KNOWLEDGE Solve the equation. 1. For x: 2. For x: Remember the Concept Steps to Solve a Multistep Equation Step 1: Simplify both sides. Step 2: Move the variable to one side. Step 3: Move the constants term to the other side. Step 4: Divide each side by the coefficient of the variable. ACTIVATE PRIOR KNOWLEDGE Make the Connection Students, you already know how to solve equations. Today, we will learn how to solve systems of equations.

A "system" of equations is a collection of two or more equations with the same variables. Linear equations are ones that graph as straight lines. Example CONCEPT DEVELOPMENT Check for Understanding A: Explain what is system? B: Explain type of solutions to system?

SKILL DEVELOPMENT / GUIDED PRACTICE 1 Identify your variables 2 Write First and Second equation 3 Use the Substitution method solve for one variable 4 Do substitution to find the second variable. 1. The Strauss family is deciding between two lawn-care services. Green Lawn charges a $41 startup fee plus $26 per month. Yard Guard charges a $21 startup fee plus $31 per month. Determine when the cost of the two services will be the same amount, and what the price will be. 2 The Strauss family is deciding between two lawn-care services. Green Lawn charges a $52 startup fee plus $24 per month. Yard Guard charges a $22 startup fee plus $29 per month. Determine when the cost of the two services will be the same amount, and what the price will be. Remember the Concept SKILL DEVELOPMENT / GUIDED PRACTICE Check for Understanding A: Explain how to solve system to B The cost will be same after 4 months at $145.

SKILL DEVELOPMENT / GUIDED PRACTICE Remember the Concept 1 Find the Slope using any two points (both equations) 2 Use slope-intercept to write the 2-equations 3 Use the Substitution method solve for one variable 4 Do substitution to find the second variable. 1. Two garden supply companies deliver pea stone according to the following table. 2 Two garden supply companies deliver pea stone according to the following table. x y y SKILL DEVELOPMENT / GUIDED PRACTICE Both Yard Depot and Lawn & Garden charge $158 to deliver 4 cubic yards of pea stone Check for Understanding B: Explain how to write & solve equation to B Both Yard Depot and Lawn & Garden charge $206 to deliver 7 cubic yards of pea stone.

SKILL DEVELOPMENT / GUIDED PRACTICE Remember the Concept 1 Find the Slope using two points (both equations) 2 Use slope-intercept to write the 2-equations 3 Describe the meaning of the y-term. 4 Find the point of intersection (Crossing point). 1. Use the graph to make a linear model of each function. Describe the meaning of the terms in the models. Then create the linear system, and state what the solution represents. SKILL DEVELOPMENT / GUIDED PRACTICE The y intercept represents the initial costs of the cabin rental. The slope represents the rental cost per day. The point of intersection (8, 63) represents the cost of $63 for 8 days that both cabins cost.

SKILL DEVELOPMENT / GUIDED PRACTICE Remember the Concept 1 Find the Slope using two points (both equations) 2 Use slope-intercept to write the 2-equations 3 Describe the meaning of the y-term. 4 Find the point of intersection (Crossing point). 1. Use the graph to make a linear model of each function. Describe the meaning of the terms in the models. Then create the linear system, and state what the solution represents. SKILL DEVELOPMENT / GUIDED PRACTICE The y intercept represents the initial costs of the cabin rental. The slope represents the rental cost per day. The point of intersection (6, 83) represents the cost of $83 for 6 days that both cabins cost.

What did you learn today about how to write and solve Systems of Linear Equations. Word Bank System of Equations Point Slope Form Slope-Intercept Form Substitution method SUMMARY CLOSURE