y = –6x – 1
The student can solve for x by reversing the operations of subtraction and division. They first needs to nullify the division by multiplying both sides of the equation by 6, then eliminating the subtraction by adding 12 to both sides, this gives the solution as x equals 66. The question is about Algebraic Equation.
The answer is 66.
The subject of the question is a simple algebraic equation that involves two operations on the variable x. The operations on x are subtraction (x-12) and division (divided by 6).
In solving for x, we normally follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) or BODMAS (Brackets, Orders, Division/Multiplication, Addition/Subtraction) in UK. This equation, however, only involves subtraction and division. In this case, we should reverse the operations for easier problem-solving. Therefore, we should first remove the division by multiplying both sides by 6, and then complete the subtraction operation by adding 12 to both sides.
Here's how it's done:
Multiply both sides by 6 to cancel the division: (x-12) * 6 = 9 * 6.
This simplifies to x - 12 = 54.
Add 12 to both sides to solve for x: x = 54 + 12.
So, x = 66.
Hence The answer is 66.
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