Question

Suppose you first want to eliminate the fraction in 4n=1/2(2n-12). What would your first step be? Is -2 still the solution when you start by eliminating the fraction first? Explain

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Answer 1

Explanation:

Recognize that the (1/2) in 4n=1/2(2n-12) is a coefficient, the coefficient of the (2n - 12) term.

Thus, multiply both sides of this equation 4n=1/2(2n-12) by 2, to obtain:

8n = 2n - 12

Combining like terms, we get 6n = -12, so that n = -2.

Multiplying both sides of the equation by a constant does not in any way affect your ability to find a solution and does not change the solution.