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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 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. Verify by computation that the point of intersection is a solution to each of the equations in the system.

Solving a system of equations using the graphical method involves plotting both equations on a coordinate plane and finding the point where the two lines intersect. This intersection point represents the solution to the system of equations.

- Draw the line for the first equation. (Plot points or use the slope-intercept method)
- Draw the line the second equation.
- Find the point of intersection of the two lines.

The coordinates of the intersection point are the solution to the system. - Verify the solution by substituting the coordinates into both equations to ensure they satisfy both.

Note:

If the lines are parallel, they will never intersect, and the system has no solution.

If the lines coincide (are the same line), they have infinitely many solutions.

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 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 Equations Worksheet #6

System of Equations Worksheet #7

System of Equations Worksheet #8

System of Equations Worksheet #9

System of Equations Worksheet #10

System of Equation

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