Which explanation is an accurate way to describe the solution to a system of equations by using a graph?

ATwo different x-intercepts are solutions to a system of equations.
BTwo different y-intercepts are solutions to a system of equations.
CThe locations of all the x- and y-intercepts are solutions to a system of equations. d. The location (x, y) where the lines intersect is a solution to a system of equations.

Question

uhmalex uhmalex

31-01-2017
Mathematics

Answered

Which explanation is an accurate way to describe the solution to a system of equations by using a graph?

ATwo different x-intercepts are solutions to a system of equations.
BTwo different y-intercepts are solutions to a system of equations.
CThe locations of all the x- and y-intercepts are solutions to a system of equations. d. The location (x, y) where the lines intersect is a solution to a system of equations.

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angelalab angelalab · Answer 1 · 2017-01-31T12:45:30-05:00

Systems of equations are comprised of two or more equations that share two or more unknowns. We can graph the equations within a system to find out whether the system has zero solutions (represented by parallel lines), one solution (represented by intersecting lines), or an infinite number of solutions (represented by two superimposed lines).

I would say C.) The locations of ALL the x and y intercepts are the solutions to a system of equations.

But I would say I am 50-50, might be D.) But then again the intersecting of all the lines will vary or not it could be unknown? hmm...