HOMEWORK FOR 7-1p. 430 2, 6, 8, 9, 14, 17, 18, 25, 32, 34, 42, 46

“Finish the whole thing; it’ll make my mom happy!”

Colby

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?

Name two ways to tell whether (2, 0) would be a solution to this system.

(3, 1)

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 = 52x + 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.