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IM 8.4.13 Lesson: Solving Systems of Equations

Autor:GeoGebra Classroom Activities, IM 6 – 8 Math

Use the lines to decide whether each statement is true or false. Be prepared to explain your reasoning using the lines.

A solution to  is 2.

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  • A
  • B
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A solution to is 8.

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A solution to is 8.

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  • A
  • B
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A solution to is 2.

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  • A
  • B
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There are no values of and that make and true at the same time.

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  • A
  • B
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Here are three systems of equations graphed on a coordinate plane:

Match each figure to one of the systems of equations shown here. Figure A:

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  • A
  • B
  • C
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Figure B:

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  • A
  • B
  • C
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Figure C:

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  • A
  • B
  • C
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Find the solution to each system and then check that your solution is reasonable on the graph.

  • Notice that the sliders set the values of the coefficient and the constant term in each equation.
  • Change the sliders to the values of the coefficient and the constant term in the next pair of equations.
  • Click on the spot where the lines intersect and a labeled point should appear.

Your teacher will give you a page with 6 systems of equations. Describe what the graph of a system of equations looks like when it has: 1 solution

0 solutions

infinitely many solutions.

Use the applet to confirm your answer.

The graphs of the equations and intersect at . Find and . Show or explain your reasoning.

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