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

a. Two different x-intercepts are solutions to a system of equations.

b. Two different y-intercepts are solutions to a system of equations.

c. The 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

Mathematics

Sage Schaefer

2 August, 18:11

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

a. Two different x-intercepts are solutions to a system of equations.

b. Two different y-intercepts are solutions to a system of equations.

c. The 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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Answers (1)

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Leyla Mathis · Answer 1

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 ...