8x + 2y 6 3. Solve the system of equations y = -4x + 3 Graph the line for each equation in the system. The slopes of the lines for both equations The y-intercepts of the lines for both equations The lines that represent both equations So, this system of equations has solution(s).

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.7: Solving Systems Of Linear And Quadratic Equations
Problem 30HP
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Question 3
1. The graphs shown are of linear systems that have different numbers of
solutions. A point of intersection shows a solution. Draw a line from the graph
of each linear system to the correct number of solutions.
ty
4
41
4.
-2
infinitely many
no solution
one solution
Sy= 2x + 3
1-y%3D2x + 1'
2. Jenna incorrectly solved the system of equations
Find and correct her error.
The lines are parallel, so there is no point of intersection.
This system has no solutions.
(8x + 2y = 6
3. Solve the system of equations
ly = -4x + 3
Graph the line for each equation in the system.
The slopes of the lines for both equations
The y-intercepts of the lines for both equations
-2
The lines that represent both equations
So, this system of equations has
solution(s).
Transcribed Image Text:1. The graphs shown are of linear systems that have different numbers of solutions. A point of intersection shows a solution. Draw a line from the graph of each linear system to the correct number of solutions. ty 4 41 4. -2 infinitely many no solution one solution Sy= 2x + 3 1-y%3D2x + 1' 2. Jenna incorrectly solved the system of equations Find and correct her error. The lines are parallel, so there is no point of intersection. This system has no solutions. (8x + 2y = 6 3. Solve the system of equations ly = -4x + 3 Graph the line for each equation in the system. The slopes of the lines for both equations The y-intercepts of the lines for both equations -2 The lines that represent both equations So, this system of equations has solution(s).
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