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Let $x$ and $y$ be integers satisfying $41x + 53y = 12$. Find the residue of $x$ modulo 53. (Express your answer as an integer from 0 to 52.)

 Jul 30, 2015

Best Answer 

 #1
avatar+26364 
+5

$$\small{\text{
Let $x$ and $y$ be integers satisfying $41x + 53y = 12$. Find the residue of $x$ modulo 53.
}}\\
\small{\text{
(Express your answer as an integer from 0 to 52.)
}}$$

 

$$\small{\text{
If $x=264$ and $y=-204$ then $41x + 53y = 12$.
}}\\
\small{\text{
The residue of $x\pmod{ 53 } = 52$.
}}$$

 

.
 Jul 31, 2015
 #1
avatar+26364 
+5
Best Answer

$$\small{\text{
Let $x$ and $y$ be integers satisfying $41x + 53y = 12$. Find the residue of $x$ modulo 53.
}}\\
\small{\text{
(Express your answer as an integer from 0 to 52.)
}}$$

 

$$\small{\text{
If $x=264$ and $y=-204$ then $41x + 53y = 12$.
}}\\
\small{\text{
The residue of $x\pmod{ 53 } = 52$.
}}$$

 

heureka Jul 31, 2015

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