# Determining a Solution from a System of Equations

If f(x,y) and g(x,y) form a system of two equations in two variables, x and y, such that:

f(x,y) = 2x2 + y = 0

g(x,y) = 3x - 2y - 7 = 0

Which of the following ordered pairs (a,b) is a solution of the system?

A) (2,-8)

B) (3,1)

C) (1,-2)

D) None of the above.

#### Solution Preview

...- 7 = 6+16 -7 = 15, which doesn't satisfies g(x,y) = 0

So the ordered pair (a,b) = (2,-8) is not a solution for the given system.

B) (a,b) = (3,1) implies that: f(x,y) =2(3)2 +1 = 19, which doesn't satisfies f(x,y) = 0

Here we don't need to find out what is the value for g(x,y) since we already found a violation of the rule for the system of ...