Warm Up: Graph y = - 2x + 7 and find the x-intercept and y-intercept.

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Presentation transcript:

Warm Up: Graph y = - 2x + 7 and find the x-intercept and y-intercept. *Extra: Write the equation in slope point form.

Systems of Linear Inequalities Unit #4 Systems of Linear Inequalities System of Equations: Any number of equations involving the same variables To solve a system of equations means...  1. to find the point of intersection of two or more graphs  2. to find the values of the variables which satisfy all    given equations We have actually studied systems of equations in the Grade 9  and Grade 10.

Ex: Does the point (4, 3) satisfy the following system of  equations?

Example: Does the point (-1, 5) satisfy the following system?

Step 2: Identify the point of intersection. Ex: Solve this system graphically. Verify your solution. Step 1: Graph both lines. Step 2: Identify the point of intersection. Step 3: Verify your solution in the equations.

Ex: Solve this system graphically. Verify your solution.

Ex: Solve this system graphically. Verify your solution.

Solve the following system of equations graphically. 2x - 3y = 6 -3x + 4y = 12

Independent Practice: Solving Systems Graphically Worksheet

Exit Slip: Solve the following systems graphically: x + y = 3 3x + 4y + 1 = 0