4/9n+6=4/3
too ambiguous
do you mean ..
4/(9n+6)=4/3 or
4/(9n)+6=4/3 or
(4/9)n+6=4/3 ??
(4/9)n+6=4/3
in that case just multiply each term by 9, the lowest common denominator to get
4n + 54 = 12
I am sure you can take it from there.
-10 1/2
correct
To solve the equation (4/9)n + 6 = 4/3, we need to isolate the variable n on one side of the equation. Here is the step-by-step process to find the value of n:
1. Start by subtracting 6 from both sides of the equation to remove the constant term:
(4/9)n + 6 - 6 = 4/3 - 6
Simplifying the left side gives:
(4/9)n = 4/3 - 18/3
Combine the fractions on the right side:
(4/9)n = -14/3
2. Next, we need to get rid of the fraction (4/9) by multiplying both sides of the equation by its reciprocal, which is 9/4:
[(4/9)n] * (9/4) = (-14/3) * (9/4)
Simplifying the equation further:
[4/9 * 9/4] * n = -14/3 * 9/4
(4/4) * n = -126/12
Since (4/4) equals 1, we have:
1 * n = -126/12
Simplifying:
n = -126/12
3. The last step is to simplify the fraction by dividing the numerator and denominator by their greatest common divisor (GCD), which is 6:
n = (-126 ÷ 6) / (12 ÷ 6)
n = -21/2
So, the solution to the equation (4/9)n + 6 = 4/3 is n = -21/2.