Find The Number Of Solutions In A System By Graphing

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#1 of 4: Mild

Find the number of solutions in a system by graphing

<p>Graph the lines and determine the number of solutions:</p><ul><li><p>`y = -x - 2`</p></li><li><p>`y = 2x - 8`</p></li></ul></selectivedisplay><selectivedisplay><LineGraph data-props='{ "options": { "x_min": -10, "y_min": -10, "y_max": 10, "x_max": 10, "cell_size": 15, "x_interval": 1, "y_interval": 1 }, "points": [], "line_segments": [] }'></LineGraph ><p>Number of solutions</p><ul><li><p>No solution</p></li><li><p>Exactly one solution</p></li><li><p>Infinitely many solutions</p></li></ul></selectivedisplay>

#2 of 4: Medium

Find the number of solutions in a system by graphing

<p>Graph the lines and determine the number of solutions:</p><ul><li><p>`y = -1/2x + 3`</p></li><li><p>`x + 2y = 6`</p></li></ul></selectivedisplay><selectivedisplay><LineGraph data-props='{ "options": { "x_min": -10, "y_min": -10, "y_max": 10, "x_max": 10, "cell_size": 15, "x_interval": 1, "y_interval": 1 }, "points": [], "line_segments": [] }'></LineGraph ><p>Number of solutions</p><ul><li><p>No solution</p></li><li><p>Exactly one solution</p></li><li><p>Infinitely many solutions</p></li></ul></selectivedisplay>

#3 of 4: Medium

Find the number of solutions in a system by graphing

<p>Graph the lines and determine the number of solutions:</p><ul><li><p>`y = -x + 4`</p></li><li><p>`2x - y = 2`</p></li></ul></selectivedisplay><selectivedisplay><LineGraph data-props='{ "options": { "x_min": -10, "y_min": -10, "y_max": 10, "x_max": 10, "cell_size": 15, "x_interval": 1, "y_interval": 1 }, "points": [], "line_segments": [] }'></LineGraph ><p>Number of solutions</p><ul><li><p>No solution</p></li><li><p>Exactly one solution</p></li><li><p>Infinitely many solutions</p></li></ul></selectivedisplay>

#4 of 4: Spicy

Find the number of solutions in a system by graphing

<p>Graph the lines and determine the number of solutions:</p><ul><li><p>`2x - 2y = -8`</p></li><li><p>`4x - 4y = -16`</p></li></ul></selectivedisplay><selectivedisplay><LineGraph data-props='{ "options": { "x_min": -10, "y_min": -10, "y_max": 10, "x_max": 10, "cell_size": 15, "x_interval": 1, "y_interval": 1 }, "points": [], "line_segments": [] }'></LineGraph ><p>Number of solutions</p><ul><li><p>No solution</p></li><li><p>Exactly one solution</p></li><li><p>Infinitely many solutions</p></li></ul></selectivedisplay>

In 8th Grade, students learn how to solve a system of equations algebraically and graphically. For the students “Find the number of solutions in a system by graphing practice problems” is an effective way to enhance their understanding of system of equations graphically. 

 

This practice involves problems, where the students are asked to identify whether the given system of equations has no solution, Exactly one solution, or Infinitely many solutions. By solving these problems, students will be able to solve any system of equations graphically.

In 8th Grade, students learn how to solve a system of equations algebraically and graphically. For the students “Find the number of solutions in a system by graphing practice problems” is an effective way to enhance their understanding of system of equations graphically. 

 

This practice involves problems, where the students are asked to identify whether the given system of equations has no solution, Exactly one solution, or Infinitely many solutions. By solving these problems, students will be able to solve any system of equations graphically.

In 8th Grade, students learn how to solve a system of equations algebraically and graphically. For the students “Find the number of solutions in a system by graphing practice problems” is an effective way to enhance their understanding of system of equations graphically. 

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Grade 8
Systems Of Equations
8.EE.C.8.B

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What teachers are saying about BytelearnWhat teachers are saying

stephan.png
Stephen Abate
19-year math teacher
Carmel, CA
Any math teacher that I know would love to have access to ByteLearn.
jennifer.png
Jennifer Maschino
4-year math teacher
Summerville, SC
“I love that ByteLearn helps reduce a teacher’s workload and engages students through an interactive digital interface.”
rodolpho.png
Rodolpho Loureiro
Dean, math program manager, principal
Miami, FL
“ByteLearn provides instant, customized feedback for students—a game-changer to the educational landscape.”