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Printable “System of Equations” worksheets:

Solve Systems of Equations with Substitution

Solve Systems of Equations with Elimination

Solve Systems of Equation Word Problems

System of Equations using the Graphical Method

System of Equations Word Problems using the Graphical Method

System of Equations with No Solution

Examples, solutions, videos, and worksheets to help Grade 7 and Grade 8 learn how to solve system of equations word problems using the graphical method. Sketch the graphs of two linear equations and find the point of intersection. Identify the point of intersection of the two lines as the solution to the system. Compare the graphs that comprise a system of linear equations in the context of constant rates to answer questions about time and distance.

Solving system of equations word problems using the graphical method involves interpreting the word problem to set up two linear equations, graphing the equations on a coordinate plane, and finding the intersection point to determine the solution.

Steps for Solving Word Problems Using the Graphical Method:

- Understand the problem and identify two relationships.
- Set up two equations based on the relationships.
- Graph the equations on a coordinate plane.
- Find the intersection point of the two lines.
- Interpret the solution in the context of the problem.

The following diagram shows how to solve system of equations using graphs

Have a look at this video if you need to review how to solve systems of linear equations word problem by graphing.

Click on the following worksheet to get a printable pdf document.

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(Answers on the second page.)

System of Equations Worksheet #1

System of Equations Worksheet #2

System of Equations Worksheet #3

System of Equations Worksheet #4

System of Equations Worksheet #5

System of Equation Word Problems

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