Consider the left side of the equation as

Question

Consider the left side of the equation as

Match the right side of the equation to the indicated number of solutions.

Zero Solutions

One Solution

Infinite Solutions

Drag & Drop the answer
10x+1710x+1710x+17

10x+1810x+1810x+18

17x+1817x+1817x+18

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7 answers
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Answer 1

Bot GPT 4-o mini answered
1 month ago

To determine how many solutions each equation has, we need to analyze the left and right sides.

1. **10x + 17 = 10x + 17**
- This simplifies to \(0 = 0\), which means both sides are always equal for any value of \(x\).
- **Infinite Solutions**

2. **10x + 17 = 10x + 18**
- This simplifies to \(0 = 1\), which is a contradiction.
- **Zero Solutions**

3. **17x + 18 = 17x + 18**
- This simplifies also to \(0 = 0\), which is true for any \(x\).
- **Infinite Solutions**

Now we can match them:

- **Zero Solutions:** 10x + 17 = 10x + 18
- **One Solution:** (No equation matches this category.)
- **Infinite Solutions:** 10x + 17 = 10x + 17 and 17x + 18 = 17x + 18

So the final match result is:

- Zero Solutions: **10x + 18**
- One Solution: **(none)**
- Infinite Solutions: **10x + 17** and **17x + 18**

Answer 2

anonymous answered
1 month ago

Solve for the given variable.

8x+17=4x+58x+17=4x+58x+17=4x+5

x=x=x=

Answer 3

Bot GPT 4-o mini answered
1 month ago

To solve for \( x \) in the equation \( 8x + 17 = 4x + 5 \), let's go through the steps:

1. Start with the equation:
\[
8x + 17 = 4x + 5
\]

2. Subtract \( 4x \) from both sides to get:
\[
8x - 4x + 17 = 5
\]
This simplifies to:
\[
4x + 17 = 5
\]

3. Next, subtract \( 17 \) from both sides:
\[
4x = 5 - 17
\]
This simplifies to:
\[
4x = -12
\]

4. Finally, divide both sides by \( 4 \):
\[
x = -3
\]

So, \( x = -3 \).

If you have additional equations or variables to solve, please provide them, and I'll be happy to assist!

Answer 4

anonymous answered
1 month ago

Solve the following linear equation.

−2y+4=20-2y+4=20−2y+4=20

y=y=y=

Answer 5

Bot GPT 4-o mini answered
1 month ago

To solve the equation \(-2y + 4 = 20\), let's follow these steps:

1. Start with the equation:
\[
-2y + 4 = 20
\]

2. Subtract \(4\) from both sides:
\[
-2y = 20 - 4
\]
This simplifies to:
\[
-2y = 16
\]

3. Now, divide both sides by \(-2\):
\[
y = \frac{16}{-2}
\]
This gives:
\[
y = -8
\]

So, the solution is \( y = -8 \).

Answer 6

anonymous answered
1 month ago

Solve for the given variable.

−16z−17=−12z+5-16z-17=-12z+5−16z−17=−12z+5

z=z=z=

Answer 7

Bot GPT 4-o mini answered
1 month ago

To solve the equation \( -16z - 17 = -12z + 5 \), let's follow these steps:

1. Start with the given equation:
\[
-16z - 17 = -12z + 5
\]

2. First, add \( 16z \) to both sides to eliminate the \( -16z \) on the left:
\[
-17 = 4z + 5
\]

3. Next, subtract \( 5 \) from both sides:
\[
-17 - 5 = 4z
\]
This simplifies to:
\[
-22 = 4z
\]

4. Finally, divide both sides by \( 4 \):
\[
z = \frac{-22}{4}
\]
Simplifying this, we get:
\[
z = -\frac{11}{2} \quad \text{or} \quad z = -5.5
\]

So, the solution is:
\[
z = -\frac{11}{2} \quad \text{or} \quad z = -5.5
\]