exam Maths Puzzle Numerical Ability

math and I don't get alone very good, so I was wondering if you could help me understand proof in Alebra.

Prove: -(a+b)=(a+)+(b)
(Property of the opposite of a sum)
Proof: Sin

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A Linear Equation of the form Ax+By=C, where A and B are not both zero, is in the standard form. Find the slope and y-intercept in terms of A, B, and C. When solving a rational equation, why is it necessary to perform a check?