SOLUTION: The number of positive integers k for which the equation kx − 12 = 3k has an integer solution for x is
A.3 B. 4 C. 5 D. 6 E. 7
Algebra.Com
Question 290233: The number of positive integers k for which the equation kx − 12 = 3k has an integer solution for x is
A.3 B. 4 C. 5 D. 6 E. 7
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
k (x-3) = 12
k=12/(x-3)
6 integer solutions for k>0
1, 2,3 4, 6,12
All the positive factors of 12
x=15,9,7,6,5,4
RELATED QUESTIONS
if x = -1 and k > 0, which of the following has the greatest value ?
a 2 kx b... (answered by stanbon)
Find the range of k for which the quadratic equation x^2-kx+3k-2=0 has two different... (answered by KMST)
if k is a positive integer,what is the least value of k for which sqrt (5k/3) is an... (answered by josmiceli)
You are given this formula: R = {(5k + 3, 4), (3k - 5, 7)}. Which equation would find the (answered by vleith)
If {{{x^2+kx+k+1=(x+p)(x+2)}}} for all values of x and k and p are constants, what is the (answered by rothauserc,Edwin McCravy)
The sum of three consecutive integers is k. What is the greatest of these integers in... (answered by Fombitz)
Calculate the smallest positive integer k for which the equation (kx+1)^2=8x has no real... (answered by Edwin McCravy)
1. Find all roots of x3 + 2x2 + 2x + 1. Hint: Find the rational one(s) first.
A.... (answered by Alan3354)
Let K be a real number. Consider the following system of equations:
x - y + 3z =... (answered by ikleyn)