Integer ratio solutions

For which integers x is the ratio (x + 11) / (x + 7) an integer? Find all solutions.

Final Answer:

x1 =  -3
x2 =  -5
x3 =  -6
x4 =  -8
x5 =  -9
x6 =  -11

Step-by-step explanation:

x1​=−3 x1​=k1​=(x1​+11)/(x1​+7)=((−3)+11)/((−3)+7)=2=−3
x2​=−5 x2​=k2​=(x2​+11)/(x2​+7)=((−5)+11)/((−5)+7)=3=−5
x3​=−6 x3​=k3​=(x3​+11)/(x3​+7)=((−6)+11)/((−6)+7)=5=−6
x4​=−8 x4​=k4​=(x4​+11)/(x4​+7)=((−8)+11)/((−8)+7)=−3=−8
x5​=−9 x5​=k5​=(x5​+11)/(x5​+7)=((−9)+11)/((−9)+7)=−1=−9
x6​=−11 x6​=k6​=(x6​+11)/(x6​+7)=((−11)+11)/((−11)+7)=0=−11

Try another example


Help us improve the example. If you find a mistake, let us know. Thank you!







Tips for related online calculators
Need help calculating a sum, simplifying, or multiplying fractions? Try our fraction calculator.
Do you solve Diofant problems and are looking for a calculator of Diofant integer equations?
Do you have a linear equation or system of equations and are looking for a solution? Or do you have a quadratic equation?
Do you want to perform natural numbers division - find the quotient and remainder?

You need to know the following knowledge to solve this word math problem:

algebraarithmeticbasic operations and conceptsnumbersthemes, topicsGrade of the word problem

Related math problems and questions: