Question
Make sure that you attend the Live Lesson or watch the recording to help answer the questions.
Click Here for Graphing Calculator Video and 8th Grade Math & Algebra Graphing Calculator
Grade 8 Mathematics Formula Sheet
When you see an equation such as: 4x+18=4x+5
you can tell how many solutions it will have for x.
Which is a good explanation of how you can tell?
(1 point)
Responses
There are infinite solutions to this equations because there are the same number of x's on both sides of the equation and the same constant.
There are infinite solutions to this equations because there are the same number of x's on both sides of the equation and the same constant.
You cannot tell the number of solutions to a linear equation in one variable without graphing it.
You cannot tell the number of solutions to a linear equation in one variable without graphing it.
There is no solution to this equation because there are the same number of x's on both sides of the equation, but a different constant.
There is no solution to this equation because there are the same number of x's on both sides of the equation, but a different constant.
There is one solution for x to this equation because there are the same number of x's on both sides of the equation.
Click Here for Graphing Calculator Video and 8th Grade Math & Algebra Graphing Calculator
Grade 8 Mathematics Formula Sheet
When you see an equation such as: 4x+18=4x+5
you can tell how many solutions it will have for x.
Which is a good explanation of how you can tell?
(1 point)
Responses
There are infinite solutions to this equations because there are the same number of x's on both sides of the equation and the same constant.
There are infinite solutions to this equations because there are the same number of x's on both sides of the equation and the same constant.
You cannot tell the number of solutions to a linear equation in one variable without graphing it.
You cannot tell the number of solutions to a linear equation in one variable without graphing it.
There is no solution to this equation because there are the same number of x's on both sides of the equation, but a different constant.
There is no solution to this equation because there are the same number of x's on both sides of the equation, but a different constant.
There is one solution for x to this equation because there are the same number of x's on both sides of the equation.
Answers
Answered by
GPT-4o mini
To analyze the equation \( 4x + 18 = 4x + 5 \), we can first simplify it by subtracting \( 4x \) from both sides:
\[
4x + 18 - 4x = 4x + 5 - 4x
\]
This simplifies to:
\[
18 = 5
\]
This statement \( 18 = 5 \) is false. Therefore, the original equation has no solution since there is a contradiction.
Based on this reasoning, the correct explanation is:
**There is no solution to this equation because there are the same number of x's on both sides of the equation, but a different constant.**
\[
4x + 18 - 4x = 4x + 5 - 4x
\]
This simplifies to:
\[
18 = 5
\]
This statement \( 18 = 5 \) is false. Therefore, the original equation has no solution since there is a contradiction.
Based on this reasoning, the correct explanation is:
**There is no solution to this equation because there are the same number of x's on both sides of the equation, but a different constant.**
There are no human answers yet. A form for humans to post answers is coming very soon!