Question

Find the error in the solution, and then solve it correctly.

____ (choices: 9 or 9x) was subtracted from the left side, but ___ (choices: 9x or 9) was subtracted from the right side. The Subtraction Property of Equality states that you can subtract the same number from each side and the equation will remain true. But 9x and 9 are not the same number (unless x is ____ (choices: 0, 1, 2)).
x = __
a. 9; 9
b. 9; 9x
c. 9x; 9
d. 9x; 9x

Answer 1

The error lies in subtracting different quantities from each side of an equation, which violates the Subtraction Property of Equality. The correct approach would be to subtract the same amount from both sides to maintain balance in the equation.

Step-by-step explanation:

The question indicates that there is an error in solving an equation, and it involves incorrect subtraction from each side of the equation. According to the Subtraction Property of Equality, the same number must be subtracted from each side to maintain equality.

If 9 was subtracted from one side and 9x from the other, unless x equals 1, the operations are not equivalent. This would violate the equality principle. The correct solution requires subtracting the same expression from each side of the equation.

To solve the equation correctly, both sides should be treated equally. This means that if 9 is subtracted on one side, 9 should also be subtracted on the other side and vice versa for 9x.

There's not enough information to find the value of x without the original equation, but the correct approach would be to ensure whatever operation is done on one side of the equation is also done on the other side.