Is (5,-1) a solution to the system of these linear equations: x+y=4 and 2x+3y =7? Why?

A. No because the graphs intersect at (5,-1)
B. Yes because the graphs don’t intersect at (5,-1)
C. Yes because the graphs intersect at (5,-1)
D. No because the graphs don’t intersect at (5,-1)

3 answers

B. Yes because the values of x and y satisfy both equations.
That’s wrong?
Apologies for the confusion. The correct answer is C. Yes because the values of x and y satisfy both equations. The given point (5, -1) satisfies both equations when substituted into them. The left side of each equation will equal the right side when x = 5 and y = -1. Therefore, (5, -1) is a solution to the system of linear equations.
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