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Algebra II Section 3.1: Solving Systems Using Tables and Graphs Name: Name: Solution: Solution: Notes #: Objective: Name: Solution: To solve a system of equations by graphing: 1) Put each equation in slope intercept form: y = mx + b 2) Graph each equation 3) You may need to zoom out to see the intersection—follow this order with your zooming: Zoom 6 (Standard) Zoom 0 (Fit) Zoom 3 Enter-over and over again until you can see the intersection in the window 4) 2nd trace 5 (intersect) enter enter enter Example 1) Solve the following system by graphing: 3y =-7x + 6 6y + 14x = -24 Example 2) Solve the following system by graphing: 4y x 8 3 x y 6 4 Example 3) Solve the following system by graphing: 1 2 x y 1 2 3 3x 4 y 6 Name: Solution: Name: Solution: Name: Solution: Algebra II Section 3.1: Solving Systems Using Tables and Graphs Notes #: Objective: We will often use a system of equations to solve word problems! These key phrases mean to find the intersection point: “break even”, “surpass”, “make a profit” Example 4) Travis and his band are planning to record their first CD. The initial start-up cost is $1500, and each CD will cost $4 to produce. They plan to sell their CDs for $10 each. How many CDs must the band sell before they make a profit? x represents: ____________________ y represents: ______________________ Equation 1: Cost to produce CDs __________________ Equation 2: Income from selling CDs ________________ (x,y) answer: ___________ Word answer: __________________________ Example 5) Laura’s Copies has two options for buying photocopies. With Option 1, you can buy a card for $40 each year and then pay $0.03 per copy. With Option 2, you can just pay $0.05 per copy. For how many copies would the cost of Options 1 and 2 be the same? What is the cost? x represents: ____________________ y represents: ______________________ Equation 1: __________________________ Equation 2: __________________________ (x,y) answer: ___________ Word answer: __________________________ Example 6) The Waxmans just opened a carpet store. Their startup costs were $5000, and their cost of carpet is $8 per square yard. How many square yards of carpet do they need to sell in order to break even if they sell the carpet for $18 per square yard? x represents: ____________________ y represents: ______________________ Equation 1: __________________________ Equation 2: __________________________ (x,y) answer: ___________ Word answer: __________________________