To solve the equation, we can start by getting rid of the fractions. One way to do this is by multiplying every term in the equation by the least common denominator (LCD), which is 16 in this case.
Multiplying n/8 by 16 gives us (16/8)n = 2n.
Multiplying 7n/16 by 16 gives us 7n.
Multiplying 1/8 by 16 gives us 2.
So, the equation becomes 2n - 7n = 2.
Combining like terms, we have:
-5n = 2.
Dividing both sides of the equation by -5 gives us:
n = -2/5.
To check the answer, substitute n = -2/5 back into the original equation:
(-2/5)/8 - 7(-2/5)/16 = 1/8.
This simplifies to:
(-2/40) - (-14/40) = 1/8,
-2/40 + 14/40 = 1/8,
12/40 = 1/8,
3/10 = 1/8.
Since this is not a true statement, the answer n = -2/5 is incorrect.
Solve the equation below. Choose the method you prefer to use. Check your answer.
n/8 - 7n/16 =1/8
n=
1 answer
1 answer