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6(n-3)=4(n+2.1) - math

by scott
(buffalo,ny)











































Simplify the following equation.

Apply the Distributive Law to eliminate the parentheses on each side of the equal sign.

6(n-3)=4(n+2.1)

Comments for 6(n-3)=4(n+2.1) - math

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Nov 07, 2010
Solve Equation with 1 Variable
by: Staff



The question:

by Scott
(Buffalo, NY)



6(n – 3) = 4(n + 2.1)


The answer:


6(n – 3) = 4(n + 2.1)

Simplify the equation using the Distributive Law. Applying the Distributive Law will eliminate the parentheses on each side of the equal sign.


6 * n – 6 * 3 = 4 * n + 4 * 2.1


6n – 18 = 4n + 8.4


Group all the unknowns on one side of the equation.

It does not matter which side of the equation you choose. In this example I am going to group the unknowns on the left side by subtracting 4n from each side of the equation.


6n – 4n – 18 = 4n – 4n + 8.4

2n – 18 = 0 + 8.4

2n – 18 = 8.4


Eliminate the – 18 from the left side of the equation by adding + 18 to each side.

2n – 18 + 18 = 8.4 + 18

2n + 0 = 26.4

2n = 26.4


Eliminate the 2 from the left side of the equation by dividing each side of the equation by 2.

2n = 26.4

2n/2 = 26.4/2

n = 13.2

The final answer: n = 13.2


Check your work. Substitute the number 13.2 for every n in the original equation:

6(n – 3) = 4(n + 2.1)

6(13.2 – 3) = 4(13.2 + 2.1)

6(10.2) = 4(15.3)

61.2 = 61.2

Since the equation is in balance (61.2 = 61.2), the solution of n = 13.2 is correct.







Thanks for writing.


Staff
www.solving-math-problems.com



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