Piecewise Quiz!.

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Presentation transcript:

Piecewise Quiz!

Warm Up Solve the system of equations: 3x + 5y = 25 4x + 7y = 34 Think about 4 ways you have learned to solve a system!

Solving Systems of non-linear Equations

What is a system of equations? A system of equations is two or more equations grouped together with the same set of unknowns. Ex. 6x + 5y = 3 2x + 9y = 2 Same set of unknowns, x and y.

There are multiple ways ways to solve systems of equations. Today, we will just focus on graphing. - graphing - substitution - elimination - matrices

Check if the following points are solutions to the system 1) (3, 10) 2) (-5, -6)

Steps for Solving Systems by Graphing Solve both equations for y. Put the equations in your graphing calculator. Use the INTERSECT tool to find where the equations share a point. CAUTION: We will be looking at nonlinear systems (not just lines), so there may be more than one solution set.

Solving Systems by Graphing Solve: y = x2 - 3 2. 4x3 - 4y = 12 y - 3x = -2 x – y = 3

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Unit 1 Test – Thursday, September 4th Coming up… Unit 1 Test – Thursday, September 4th