hammonjj said:Homework Statement
Show that:
7x≈3 mod(15)Homework Equations
From the given above I think it should be:
7x-3=15n
The Attempt at a Solution
I tried factoring this in various ways to show that either said was a factor of the other, but I'm struggling here.
But I don't know what to do from here. I actually have several of these problems, but I assume that once I know how to do the first one, they will be easy.
Thoughts? Thanks!
James
Mark44 said:So, since the equation isn't generally true, maybe the aim of the problem was to find the values of x for which it is true.
hammonjj said:Homework Statement
Show that:
7x≈3 mod(15)Homework Equations
From the given above I think it should be:
7x-3=15n
The Attempt at a Solution
I tried factoring this in various ways to show that either said was a factor of the other, but I'm struggling here.
But I don't know what to do from here. I actually have several of these problems, but I assume that once I know how to do the first one, they will be easy.
Thoughts? Thanks!
James
"Mod" is short for "modulo" and it represents the remainder when dividing the number on the left side of the equation by the number on the right side.
The symbol "≈" means "approximately equal to". In this context, it means that the left side of the equation is close to, but not exactly equal to, the right side.
To solve this equation, you need to use the basic principles of algebra to isolate the variable "x" on one side of the equation. In this case, you can divide both sides by 7 to get x ≈ 3/7 mod(15).
Solving an equation "mod" something means finding all the possible answers within a specific range. In this case, we are looking for all the values of x that satisfy the equation 7x ≈ 3 mod(15).
Yes, using the principles of modular arithmetic, we can determine that x ≈ 9 mod(15) is a solution to the equation 7x ≈ 3 mod(15). This means that 9 is one possible value for x that makes the equation true.