To solve the equation, we need to isolate the variable x.
First, let's simplify the left side of the equation:
15/3x − 9 − 4 = 12
5/x − 9 − 4 = 12 [divide 15 by 3x]
5/x − 13 = 12 [subtract 9 from -4]
To get rid of the fraction, let's multiply both sides of the equation by x:
(x)(5/x − 13) = (x)(12)
5 − 13x = 12x
5 = 12x + 13x
5 = 25x
Now, divide both sides of the equation by 25 to solve for x:
5/25 = 25x/25
1/5 = x
So the value that will complete the set of equations is x = 1/5.
However, there is no restriction mentioned in the question (x≠ _____?), so there is no value that x should not be. Therefore, we can conclude that x can be any real number including 1/5.
What value will complete the set of equations 15/3x−9 −4=12 and x≠_____?
1 answer