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Graphing Systems of Linear Eqns

Gable C Rhoads

Created on October 23, 2025

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Graphing Systems of equations

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

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graphing systems of linear equations

Jake is buying strawberries and blueberries for a fruit salad. Strawberries are $3 per pint and blueberries are $2 per pint. He spents $15 on 6 pints of berries. How many of each berry did Jake buy?

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graphing systems of linear equations

What is the only point the lines have in common?

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graphing 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.

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The solution to the system is (-5, 1).

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Solutions algebraically

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Which ordered pair is a solution to the sytem?

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Solutions algebraically
a) (3, -1) b) (2, 1) c) (1, -1)

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Graphto solve

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Graph to solve

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graphing systems of linear equations

Jake is buying strawberries and blueberries for a fruit salad. Strawberries are $3 per pint and blueberries are $2 per pint. He spents $15 on 6 pints of berries. How many of each berry did Jake buy?

Next

Back

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

Write the inequalities and graph using Desmos! Verify algebraically.

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Zoompoll

Maura graphed the system of equations and found (4, 2) as the solution.
x + y = 6 5x - 10y = -4

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Graphing Systems of equations

you should be able to
- Solve systems of equations by graphing - Verify solutions algebraically - Write and solve systems of equations for real world scenarios

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