Solve the equation modulo 5. All solutions that exist should be a whole number strictly less than 5. 2x+3=1
Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
Solve the equation modulo 5. All solutions that exist should be a whole number strictly less than 5.
2x+3=1
Formula: If , then for any integer ,
The given modulo equation is:
Subtract from the both sides of the equation:
Result: If , then
From the result,
Multiplication inverse:
Let be an element in modulo . Then is said to be the multiplication inverse of , if
exists only if .
Find the multiplicative inverse of in modulo .
Since and has no common divisor other than ,
Hence, multiplicative inverse of exists.
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