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Leo solved an equation: 2(4x + 3) - 3x = 17 + 5x. How would you describe his solution?

A) Incorrect
B) Correct
C) Partially correct
D) Incomplete

1 Answer

0 votes

Final answer:

Leo's solution to the equation cannot be determined as correct, incorrect, partially correct, or incomplete without additional context.

Step-by-step explanation:

Leo is attempting to solve the linear equation 2(4x + 3) - 3x = 17 + 5x. To determine if Leo's solution is either correct, incorrect, partially correct, or incomplete, one must first simplify the equation on both sides to isolate the variable, x.

Step-by-Step Solution:

  1. Distribute the 2 into the parentheses: 2 × 4x + 2 × 3 - 3x = 17 + 5x, which simplifies to 8x + 6 - 3x = 17 + 5x.
  2. Combine like terms on the left side: 8x - 3x + 6 = 17 + 5x, resulting in 5x + 6 = 17 + 5x.
  3. Since 5x appears on both sides, subtract 5x from both sides to eliminate the variable, resulting in 6 = 17.

This statement is not true, which suggests that there is no solution for the given equation, or that the equation is inconsistent. Without additional context, it is not possible to determine Leo's specific solution. Therefore, we cannot definitively say whether his solution is correct, incorrect, partially correct, or incomplete. However, from the solution steps provided, the process to solve the equation appears to be logically sound.

User Kab Agouda
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