SOLUTION: Find all integers x for which there exists an integer y such that
1/x + 1/y = 1/7
(In other words, find all ordered pairs of integers (x,y) that satisfy this equation, then enter
Algebra.Com
Question 1077191: Find all integers x for which there exists an integer y such that
1/x + 1/y = 1/7
(In other words, find all ordered pairs of integers (x,y) that satisfy this equation, then enter just the x's from these pairs.)
Answer by math_helper(2461) (Show Source): You can put this solution on YOUR website!
I get 8, 14, and 56
—
I rearranged to and then looking at the right hand side:
x-7 must divide 7x evenly, which happens for x=8, 14, and 56.
RELATED QUESTIONS
find all ordered pairs of integers (x, y) such that :
x^3 = 89x+40y
y^3 = 89x+40y (answered by ikleyn)
find all ordered pairs of integers (x, y) such that :
x^3 = 89x+40y
y^3 =... (answered by Alan3354)
find all ordered pairs of integers (x, y) such that : x^3 = 89x+40y and y^3 =... (answered by Alan3354)
1. Write an equation in the form y=ax^2+bx+c for the quadratic function whose graph... (answered by khwang)
Find all pairs of integers x and y such that
{{{x^2-y^2}}}=... (answered by checkley71)
Find all ordered pairs x, y of real numbers such that x+y=10 and x^3+y^3=300.
(answered by math_tutor2020,ikleyn)
find all of the ordered pairs, (x,y) of integers that satisfy all four of the given... (answered by jim_thompson5910)
find all x-y such that... (answered by Theo)
what are all ordered pairs of numbers (x, y) which satisfy x^2 – xy + y^2 = 7 and x-... (answered by richard1234)