find the solutions to 2 graph equations and also fractions

[omglookitsagoat]

How do I find the solutions to 2 graph equations and how do I solve these 2 fraction division problems?
15. What is the solution to the system of equations x^2-x + 6 = y and 2x+2y = 36?

A. (0, 6), (9, 9)
B. (2, square root of 3, 18-2 square root of 3),(-2square root of 3, 18 + square root of 3)
C. an infinite number of solutions
D. no solution

23.((x^2)-x)/((X^2)+3x+2) divided by ((x^2)+(2x))/((X^2)-1) =

A.(X^2)/((2x^2)+2x+1)
B. 1
C.((x^2)-1)/((x^2)-4)
D. ((x^2)-2x+1)/((x^2)+4x+4)

25. ((a^2/3)(b^3)c^5)/((a^2)(b^1/3)) divided by (a^2)(b^1/5)(d^1/2)

A. (a^2/3)(b^13/3)(c^5)(d^1/2)
B. (a^6)(b^6)(c^5)/(d^1/2)
C. (a^1/3)(b^13/2)(c^5)/(d^1/2)
D. bc^5/(a^1/5)(d^1/12)

These questions are from this page: http://www.thea.nesinc.com/practice.htm. I think it's easier to read there.

[stapel_eliz]

15. What is the solution to the system of equations x^2-x + 6 = y and 2x+2y = 36?

To learn how to solve systems of non-linear equations, try here.

23.((x^2)-x)/((X^2)+3x+2) divided by ((x^2)+(2x))/((X^2)-1)

To learn how to factor and then simplify the rational product, try the following:

. . . . .Simple Factoring

. . . . .Factoring Quadratics

. . . . .Special Factoring

. . . . .Simplifying Rational Expressions

. . . . .Multiplying Rational Expressions

25. ((a^2/3)(b^3)c^5)/((a^2)(b^1/3)) divided by (a^2)(b^1/5)(d^1/2)

To learn how to simplify expressions involving exponents, try here.

Once you have studied the lessons and learned the necessary background material, please attempt the exercises. If you get stuck, you will then be able to reply with a clear listing of your steps and reasoning so far.

Thank you!