# Find The Number Of Solutions In A System By Graphing

4 questions

### #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.

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

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### What teachers are saying about BytelearnWhat teachers are saying

Stephen Abate
19-year math teacher
Carmel, CA
Any math teacher that I know would love to have access to ByteLearn.
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 Loureiro
Dean, math program manager, principal
Miami, FL
“ByteLearn provides instant, customized feedback for students—a game-changer to the educational landscape.”