what is the solution set for 6x- 9=15 given the replacement set 0,1,2,3,4 A x=4, B x=3, C x=2, x=1, D x=0

Answer 1

To find the solution set for the equation \( 6x - 9 = 15 \), we first need to solve for \( x \).

1. Start with the equation: \[ 6x - 9 = 15 \]

2. Add 9 to both sides: \[ 6x = 15 + 9 \] \[ 6x = 24 \]

3. Divide both sides by 6: \[ x = \frac{24}{6} = 4 \]

Now, since the replacement set is {0, 1, 2, 3, 4}, we need to see if \( x = 4 \) is included in this set.

The solution to the equation is:

• \( x = 4 \)

From the options given:

• A: \( x = 4 \)
• B: \( x = 3 \)
• C: \( x = 2 \)
• D: \( x = 1 \)
• E: \( x = 0 \)

The correct solution that matches the calculated value is:

• A: \( x = 4 \)

Thus, the solution set for the given equation, with respect to the replacement set, is \( { 4 } \).