per means each in an equation. e.g.:sweets per child will mean sweeta each child.
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equals
It means to find what numbers the variables (the letters) must be in order to make the equation a true statement.
If you mean (1, 2) and (3, 4) then its equation is y = x+1
It is not an equation because it has no equality sign but it means xn squared-nx
It means to ascertain that the equation you are given is actually true by manipulating one of the two sides to reach the desired result.