Question

What is the solution for x in the equation: 10 - (3x - 1)/2 = (6x + 3)/11?

A) x = -9.6667
B) x = 5.1234
C) x = 12.5600
D) x = -3.7895

Answer 1

The solution for x in the equation 10 - (3x - 1)/2 = (6x + 3)/11 involves eliminating fractions, rearranging the equation, and solving for x. The correct solution is x = 5, which is not reflected in the provided options.

Step-by-step explanation:

The student is asking for the solution for x in the equation 10 - (3x - 1)/2 = (6x + 3)/11. To solve for x, we need to find a common denominator to eliminate the fractions and then isolate x on one side of the equation.

1. Multiply both sides of the equation by the common denominator, which is 22, to eliminate the fractions.
2. Apply the distributive property and simplify both sides.
3. Isolate x by getting all terms with x on one side and constants on the other.
4. Solve for x by dividing each side by the coefficient of x.

Here's a step by step explanation:

• 22*[10 - (3x - 1)/2] = 22*((6x + 3)/11)
• 220 - 11*(3x - 1) = 2*(6x + 3)
• 220 - 33x + 11 = 12x + 6
• 231 - 33x = 12x + 6
• 231 - 6 = 33x + 12x
• 225 = 45x
• x = 225 / 45
• x = 5

Therefore, the solution for x is 5, which is not listed among the options provided.