exam Maths Puzzle Numerical Ability

If a+b = c prove by direct substitution that
a^4 + b ^4+ c^4-2b^2c^2-2c^2a^2-2a^2b^2 = 0

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exam Other Question

Graph 3x+4y=7 and 5x+2y=12. I know how to do this. The next part of the problem asks: Find the exact coordinates of their point of intersection, and check your answer by substitution in the given equations. How do you go about doing this ? IF Y VARIES INVERSELY WITH X, AND IF Y=7 WHEN X=5, FIND Y WHEN X IS 7