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# Determining a solution (an ordered pair) from a system of equations.

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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.

https://brainmass.com/math/linear-algebra/determining-solution-system-equations-1438

#### Solution Preview

An ordered pair (a,b), that is x = a; y = b is a solution of the system of equations
f(x,y) and g(x,y) if that particular value of x=a and y=b satisfy both equations.

Then, we clearly see for the alternative options given:

A) (a,b) = (2,-8) implies that: f(x,y) = 2(2)2 +(-8) = 8-8 = 0, which satisfies f(x,y) = 0
But, g(x,y) = 3(2) - 2(-8) ...

#### Solution Summary

The solution shows how to find the solution of a system of equations.

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