Example Write a constant term or variable term on the line to form an equation that has no solution, one solution, or infinitely many solutions. 4x +7 = 4x + No solution: The x-terms on both sides of the equation are the same. Write a constant term so the constant terms on each side are different. 4x +7 = 4x +8 One solution: Write an x-term so the x-terms on each side of the equation will have different coefficients. 4x + 7 = 4x + 14x Infinitely many solutions: 7 results in identical expressions on both sides of the equation. 4x +7 = 4x + 7 1 Look at the Example. Decide whether there is moré than one possible answer that will result in no solution, one solution, or infinitely many solutions. Where possible, write a different constant term or variable term. a. No solution: 4x + 7 = 4x + b. One solution: 4x + 7 = 4x + c. Infinitely many solutions: 4x + 7 = 4x +

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Example
Write a constant term or variable term on the line to form an equation that
has no solution, one solution, or infinitely many solutions.
4x + 7 = 4x +
No solution: The x-terms on both sides of the equation are the same.
Write a constant term so the constant terms on each side are different.
4x + 7 = 4x+8
One solution: Write an x-term so the x-terms on each side of the equation
will have different coefficients.
4x + 7 = 4x + 14x
Infinitely many solutions: 7 results in identical expressions on both sides
of the equation.
4x + 7 = 4x + 7
1 Look at the Example. Decide whether there is moré than one possible answer that
will result in no solution, one solution, or infinitely many solutions. Where possible,
write a different constant term or variable term.
a. No solution: 4x + 7 = 4x +
b. One solution: 4x + 7 = 4x+
c. Infinitely many solutions: 4x + 7 = 4x +
Transcribed Image Text:Example Write a constant term or variable term on the line to form an equation that has no solution, one solution, or infinitely many solutions. 4x + 7 = 4x + No solution: The x-terms on both sides of the equation are the same. Write a constant term so the constant terms on each side are different. 4x + 7 = 4x+8 One solution: Write an x-term so the x-terms on each side of the equation will have different coefficients. 4x + 7 = 4x + 14x Infinitely many solutions: 7 results in identical expressions on both sides of the equation. 4x + 7 = 4x + 7 1 Look at the Example. Decide whether there is moré than one possible answer that will result in no solution, one solution, or infinitely many solutions. Where possible, write a different constant term or variable term. a. No solution: 4x + 7 = 4x + b. One solution: 4x + 7 = 4x+ c. Infinitely many solutions: 4x + 7 = 4x +
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