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Homework – Page 120 Book. Period 1, 6, 7 Do # 25 – 33 all. Period 3 & 5 Do # 25 – 30 all. 10/30. 3.2 – Solving Systems Algebraically. 10/30. Solve by SUBSTITUTION. 2 nd equation. 1 st equation. Your Turn. Solve by ELIMINATION. 2 nd equation. Substitute. Solve by ELIMINATION.
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Homework – Page 120 Book Period 1, 6, 7 Do # 25 – 33 all Period 3 & 5 Do # 25 – 30 all
10/30 3.2 – Solving Systems Algebraically
2nd equation Substitute
Another Elimination Example 2x + 3y = 12 5x – 2y = 11
1) A service club is selling copies of their holiday cookbook to raise funds for a project. The printer’s set-up charge is $200, and each books costs $2 to print. The cookbooks will sell for $6 each. How many cookbooks must the members sell before they make a profit? • Write two equations. • Solve for y. (already done) • Then graph. y = 2x + 200 y= 6x (50, 300)
2) GEOMETRY– The sides of an angle are parts of two lines whose equations are 2y + 3x = -7 and 3y – 2x = 9. The angle’s vertex is the point where the two sides meet. Find the coordinates of the vertex of the angle. Y = (-3/2)x – (7/2) Y = (2/3)x + 3 (-3, 1)
3) Adam and his family are planning to rent a midsize car for a one-day trip. In the Standard Rental Plan, they can rent a car for $52 per day plus 23 cents per mile. In the Deluxe Rental Plan, they can rent a car for $80 per day with unlimited mileage. • For each plan, write equation that represents the cost of renting a car. • Graph the equations. Estimate the break-even point of the rental costs. • If Adam’s family plans to drive 150 miles, which plan should they choose?
y = cost of renting a car ($$$) x = # of miles driven y = 52 + 0.23x y= 80