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What is the best approximation of the solution to the system to the nearest integer values?



A.
(1, 3)

B.
(3, 2)

C.
(2, 3)

D.
(3, 4)

Help pleeeaase What is the best approximation of the solution to the system to the nearest integer values A 1 3 B 3 2 C 2 3 D 3 4 class=


Answer :

C. (2,3) The solution to the system of equations is where the two lines will intersect. looking at the graph that point is closest to C. (2,3)
5x + 2y = 16 ⇒ 5x + 2y = 16
  x + 3y = 12 ⇒ 5x + 15y = 180
                                -13y = -164
                                 -13      -13
                                     y = 12 8/13
               5x + 2(12 8/13) = 16
                   5x + 25 3/13 = 16
                          -25 3/13   -25 3/13
                                   5x = -9 3/13
                                    5          5
                                     x = -1 11/13
                               (x, y) = (-1 11/13, 12 8/13)
B. (3, 2)