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“Finish the whole thing; it’ll make my mom happy!” Colby p. 430 2, 6, 8, 9, 14, 17, 18, 25, 32, 34, 42, 46 HOMEWORK FOR 7-1 Solve Linear Systems by Graphing Objective: Graph and solve systems of linear equations. • A linear system consists of two or more linear equations in the same variables. • Example: x + 2y = 7 and 3x – 2y = 5 • A solution to a linear system in two variables is an ordered pair that satisfies each equation in the system. • A system that has exactly one solution is called a consistent independent system. •All systems in the first four sections of Chapter 7 will be consistent independent systems; other types will come up in section 5. What is the solution to this system of equations? (3, 1) Name two ways to tell whether (2, 0) would be a solution to this system. Solve the linear system by graphing: 2x + 5y = 7 -x + 2y = -8 • Put into slope-intercept form or make a table. • Graph both lines. • Find the intersection point. • Check the solution algebraically. Solve the linear system by graphing: -x + y = 5 2x + y = 8 • Put into slope-intercept form or make a table. • Graph both lines. • Find the intersection point. • Check the solution algebraically. SVHS is selling football tickets for a home game. The school sold 35 tickets for $86 on the first day of the sale. Student tickets cost $2 each and non-student tickets cost $3 each. Find the number of student tickets and the number of non-student tickets the gym sold. • Name your variables. • Write your equations. • Solve the system by graphing.