Question

Which of the following is an example of an equation with no solution?
Responses

3x+4=3x+3
3
x
+
4
=
3
x
+
3
3 x plus 4 is equal to 3 x plus 3 -

3x+4=4x+3
3
x
+
4
=
4
x
+
3
3 x plus 4 is equal to 4 x plus 3 - no response given

4x+3=3x+3
4
x
+
3
=
3
x
+
3
4 x plus 3 is equal to 3 x plus 3 - no response given

3x+4=3x+4

Answer 1

For Connexus Unit 5 lesson 7

1. 3x + 4 = 3x + 3
2. 3x + 4 = 4x + 3
3. The equation has infinite solutions.
4. The equation has one solution: x = 0.
5. The equation has no solution.

Answer 2

Thank you! Did i spell Saxaphone wrong by the way?

Answer 3

To determine which of the given equations has no solution, let's analyze each one:

1. **3x + 4 = 3x + 3**
- Subtracting 3x from both sides gives:
\[
4 = 3
\]
- This is a contradiction, indicating that there is **no solution**.

2. **3x + 4 = 4x + 3**
- Subtracting 3x from both sides gives:
\[
4 = x + 3
\]
- Rearranging gives:
\[
x = 1
\]
- This has a solution (x = 1).

3. **4x + 3 = 3x + 3**
- Subtracting 3x from both sides gives:
\[
x + 3 = 3
\]
- Rearranging gives:
\[
x = 0
\]
- This has a solution (x = 0).

4. **3x + 4 = 3x + 4**
- This equation is identical on both sides, indicating:
\[
0 = 0
\]
- This is an identity and has **infinitely many solutions**.

The equation with **no solution** is **3x + 4 = 3x + 3**.

Answer 4

Based on your prompt regarding Connexus Unit 5 lesson 7, let’s summarize the equations you've provided and determine the number of solutions for each.

1. **3x + 4 = 3x + 3**
- Subtracting \(3x\) from both sides leads to:
\[
4 = 3
\]
- This is a contradiction, which means that this equation has **no solution**.

2. **3x + 4 = 4x + 3**
- Subtracting \(3x\) from both sides gives:
\[
4 = x + 3
\]
- Rearranging yields:
\[
x = 1
\]
- This equation has **one solution: \(x = 1\)**.

3. **The equation has infinite solutions.**
- An example of this type would be something like \(3x + 4 = 3x + 4\), which is identical on both sides.

4. **The equation has one solution: x = 0.**
- An example of an equation with one solution could be \(4x + 3 = 3x + 3\), which simplifies to \(x = 0\).

5. **The equation has no solution.**
- This applies to the first equation \(3x + 4 = 3x + 3\).

In conclusion:
- \(3x + 4 = 3x + 3\) → **No solution**.
- \(3x + 4 = 4x + 3\) → **One solution: \(x = 1\)**.
- An equation like \(3x + 4 = 3x + 4\) has **infinite solutions**.
- An equation like \(4x + 3 = 3x + 3\) has **one solution: \(x = 0\)**.

Make sure to understand the form of each equation and how to analyze them for solutions as that’s key in understanding their behavior.

Answer 5

Yes, "Saxaphone" is spelled incorrectly. The correct spelling is "saxophone." If you have any more questions or need further assistance, feel free to ask!