I don’t understand the question.

[Juri]

Find one set of integers x and y that satisfies the equation 26x11y = 5.

Help would very much be appreciated!

 

[lev888]

Find one set of integers x and y that satisfies the equation 26x11y = 5.

Help would very much be appreciated!

Please double check the question. As written there are no integer solutions.

 

[Juri]

Please double check the question. As written there are no integer solutions.

The question really just says “Find a set of integers x,y that satisfy the equation 26x+11y=5.

I am confused myself?

 

[lev888]

The question really just says “Find a set of integers x,y that satisfy the equation 26x+11y=5.

I am confused myself?

Well, 26x11y = 5 is quite different from 26x+11y=5.

Can you solve this: 6x+y=5?

 

[Juri]

I used trial and error for the 26x+11y=5 problem, but I am uncertain if the question is asking for that.

 

[Juri]

Well, 26x11y = 5 is quite different from 26x+11y=5.

Can you solve this: 6x+y=5?

Sorry, the equation is 26x+11y=5! Thank you for pointing that one out. I spent a few minutes trying to solve it, and I ended up with

x = 4
y = -9


For 6x+y=5, I’m not sure if I am right, but I got (-y+5/6)

 

[lev888]

Sorry, the equation is 26x+11y=5! Thank you for pointing that one out. I spent a few minutes trying to solve it, and I ended up with

x = 4
y = -9


For 6x+y=5, I’m not sure if I am right, but I got (-y+5/6)

If the numbers you found work for your equation, then what are you not sure about?
I don't understand the second answer. I wanted to give you an easier equation for the same question - find 2 integers. What you found doesn't look like 2 integers.

 

[Juri]

If the numbers you found work for your equation, then what are you not sure about?
I don't understand the second answer. I wanted to give you an easier equation for the same question - find 2 integers. What you found doesn't look like 2 integers.

I misunderstood and solved for x instead?
The two integers that I found for 6x+y=5 were

x = 1
y = -1

Therefore, (1, -1)

I understand now, thanks!

 

[Dr.Peterson]

I used trial and error for the 26x+11y=5 problem, but I am uncertain if the question is asking for that.

There are orderly ways to solve such an equation for integers; but if you have not learned them (solving linear Diophantine equations), then trial and error is probably expected. You haven't said what you are studying, so we can't tell what is expected.