Graphing Systems of Linear Eqns

- Solve systems of equations by graphing - Verify solutions algebraically - Write and solve systems of equations for real world scenarios

objectives

Graphing Systems of equations

Introduction to systems of linear equations

A system of linear equations is made up of two or more equations with the same variables. The solution to a system of equations is the ordered pair that makes both equations true! On a graph, the solution is the point of intersection.

graphing systems of linear equations

Types of solutions & their graphs

Solutions algebraically

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Graphto solve

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Graph to solve

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Graph to solve

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Graphto solve

Write the inequalities and graph using Desmos! Verify algebraically.

• Jasmine has biked 4 miles, and continues to travel at 8 miles per hour.

• Sadie has driven 2 miles, and continues to travel at 10 miles per hour.

• After how many hours will Sadie catch up to Jasmine?

real world app

x + y = 6 5x - 10y = -4

Maura graphed the system of equations and found (4, 2) as the solution.

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Extra practice

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- Solve systems of equations by graphing - Verify solutions algebraically - Write and solve systems of equations for real world scenarios

you should be able to

Graphing Systems of equations