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Solve the following systems of equations: 1. 2x - y = 3 and x ^ 2 + y ^ 2 = 2 2. 2x + y = 4 and x ^ 2 - 2x + y ^ 2 = 0 3 4/x + 3/y = 2 and 4x + 3y = 25 (x - 1) ^ 2 + (y + 3) ^ 2 = 25 and x ^ 2 + (y + 1) ^ 2 = 10 5. x ^ 2 + y ^ 2 = 25 and - (4x - 3y) * (x - y - 5) = 0 6. x ^ 2 + y ^ 2 = 16 and 2x ^ 2 - 3xy + y ^ 2 = 0 7. x ^ 2 + y ^ 2 = 5 and xy = 2 8. x ^ 2 + xy = 5 and x - 2xy = 2 9. x + 4/y = 1 and y + 4/x = 25 10. Divide 12 into two parts such that the sum of their squares is greater than twice their product by 4. 11. The length of a prayer hall is 5 meters more than its width. If the area of the hall is 36m ^ 2 find the length and width of hall. 12. The sum of the squares of two positive numbers is 100. One number is 2 more than the other find the numbers. 13. The length of the base of the right triangle exceeds the length of the perpendicular by 3. When hypotenuse of the triangle is 34. Find base and perpendicular. 14. The perimeter of an isosceles triangle is 36cm. The altitude to unequal side of the triangle is 36cm. Find the length of the three sides of the triangle. 15. The difference of two numbers is 5, and difference of their squares is 275. Find the numbers.