Question

Determine which equations have the same solution set.

A) 6x + 12 = 30
B) 10x − 35 = 15
C) 5x + 10 = 35
*
1 point
A, B, C
A, C
B, C
A, B
NONE HAVE THE SAME

Answer 1

To determine which equations have the same solution set, we will solve each equation for \( x \).

**Equation A:**
\[ 6x + 12 = 30 \]
Subtract 12 from both sides:
\[ 6x = 18 \]
Divide by 6:
\[ x = 3 \]

**Equation B:**
\[ 10x - 35 = 15 \]
Add 35 to both sides:
\[ 10x = 50 \]
Divide by 10:
\[ x = 5 \]

**Equation C:**
\[ 5x + 10 = 35 \]
Subtract 10 from both sides:
\[ 5x = 25 \]
Divide by 5:
\[ x = 5 \]

Now we have:
- Equation A: \( x = 3 \)
- Equation B: \( x = 5 \)
- Equation C: \( x = 5 \)

From this, we can see:
- Equation A has a solution of \( x = 3 \).
- Equations B and C both have a solution of \( x = 5 \).

Thus, the solution sets are:
- A: 3
- B: 5
- C: 5

The equations that have the same solution set are B and C.

Therefore, the answer is:
**B, C**