Example How many solutions does each system of equations have? b. y = 7x + 3 y = 7x -6 a. The lines intersect at one point. There is exactly one solution. b. y cannot equal both 7x + 3 and 7x at the same time. There is no solution

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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How many solutions does each system of equations have?
b. y = 7x + 3
y = 7x
a. The lines intersect at one point. There is exactly one solution.
b. y cannot equal both 7x + 3 and 7x at the same time. There is no solution.
What does the graph show to be the solution of the system in part a of
the Example? one soluti
Find a value for m that will give you a system of equations with
exactly one solution.
3 Find a value for b that will give you a system of equations
with no solution.
Draw a line in each coordinate plane so that the lines represent a system of
equations with the given number of solutions.
a. no solution
-2
b. exactly one solution c. infinitely many solutions
2
y = 6x + 1
y = mx + 1
-20
y = 6x + 1
y = 6x + b
-2
Transcribed Image Text:Example How many solutions does each system of equations have? b. y = 7x + 3 y = 7x a. The lines intersect at one point. There is exactly one solution. b. y cannot equal both 7x + 3 and 7x at the same time. There is no solution. What does the graph show to be the solution of the system in part a of the Example? one soluti Find a value for m that will give you a system of equations with exactly one solution. 3 Find a value for b that will give you a system of equations with no solution. Draw a line in each coordinate plane so that the lines represent a system of equations with the given number of solutions. a. no solution -2 b. exactly one solution c. infinitely many solutions 2 y = 6x + 1 y = mx + 1 -20 y = 6x + 1 y = 6x + b -2
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