Question

The graph represents this system of equations. What is the solution to the system of equations? a(–2, 4) b( 3, 4) c (4, –2) d(4, 3)

Answer 1

Okay. All we have to do is look at this graph and see what points out of those answer choices show up. (-2, 4) is on the line (actually where the line intersects) but what about the others? (4, -2) and (4, 3) are not connected with any of the lines, so C and D are eliminated. (3, 4) is on the line, but that's not where both lines intersect. Intersecting lines at a point shows that the point is the solution, in this case (-2, 4) is the solution to this system of equation. The answer is A: (-2, 4).

Answer 2

The solution to the system of equations is (-2,4)

How to determine the solution to the system of equations?

The solution to the system of equations is the point of intersection of the lines in the graph

From the figure, the lines intersect at the point:

(x,y) = (-2,4)

Hence, the solution to the system of equations is (-2,4)

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