exam Maths Puzzle Numerical Ability

Ok so I have to right a proof solving this problem: "If you are given a trapezoid with congruent base angles, how would you prove that the trapezoid is iscoceles". I have to solve

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Could you please help me with a question?

Solve the system:
2x + 3y = 12
x + 1.5y = -1
find the altitude of an isosceles triangle with sides of 13 inches and a base of 10 inches