Question

15 + 2X = 21(1 point) Responses x=7 x=7 x=6 x=6 x=3 x=3 10 10 Question 2 x5 = 20 (1 point) Responses 4 4 100 100 15 15 25 25 Question 3 2X + 5 = 25(1 point) Responses 20 20 10 10 7 7 5 5 Question 4 -6x + 4 = 22(1 point) Responses -3 -3 6 6 7 7 3 3 Question 5 8x - 4 = 6x + 2(1 point) Responses x=3 x=3 x=8 x=8 x=2 x=2 x=10 x=10 Skip to navigation

Answer 1

Let's solve each of the equations step by step.

**Question 1:**
\[ 15 + 2X = 21 \]

To isolate \( X \):
1. Subtract 15 from both sides:
\[ 2X = 21 - 15 \]
\[ 2X = 6 \]
2. Divide by 2:
\[ X = 3 \]

**Answer: x = 3**

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**Question 2:**
\[ x^5 = 20 \]

To solve for \( x \), take the fifth root of both sides:
\[ x = 20^{1/5} \]
This does not yield a straightforward integer. Let's evaluate the possible responses:
The closest integer response is:
**Answer: 4** (This assumes approximate answers, as \( 20^{1/5} \approx 2.5\))

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**Question 3:**
\[ 2X + 5 = 25 \]

To isolate \( X \):
1. Subtract 5 from both sides:
\[ 2X = 25 - 5 \]
\[ 2X = 20 \]
2. Divide by 2:
\[ X = 10 \]

**Answer: x = 10**

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**Question 4:**
\[ -6X + 4 = 22 \]

To isolate \( X \):
1. Subtract 4 from both sides:
\[ -6X = 22 - 4 \]
\[ -6X = 18 \]
2. Divide by -6:
\[ X = \frac{18}{-6} \]
\[ X = -3 \]

**Answer: x = -3**

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**Question 5:**
\[ 8X - 4 = 6X + 2 \]

To isolate \( X \):
1. Subtract \( 6X \) from both sides:
\[ 8X - 6X - 4 = 2 \]
\[ 2X - 4 = 2 \]
2. Add 4 to both sides:
\[ 2X = 2 + 4 \]
\[ 2X = 6 \]
3. Divide by 2:
\[ X = 3 \]

**Answer: x = 3**

Now, summarizing the final answers:
1. x = 3
2. 4
3. x = 10
4. x = -3
5. x = 3