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determine which ordered pair is a solution to the system of equations. A. (-2,-1) B. (-1,-2) C. (2,7)

Determine Which Ordered Pair Is A Solution To The System Of Equations A 21 B 12 C 27 class=

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Answer:

  C.  (2, 7)

Step-by-step explanation:

It is fairly easy to try the offered points in the equations to see which works.

  A. (x, y) = (-2, -1); -4(-2) +2(-1) = 8 -2 = 6; 9(-2) -3(-1) = -18+3 = -15 ≠ -3

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  B. (x, y) = (-1, -2); -4(-1) +2(-2) = 4 -4 = 0 ≠ 6

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  C. (x, y) = (2, 7); -4(2) +2(7) = -8 +14 = 6; 9(2) -3(7) = 18 -21 = -3

(2, 7) is a solution to the system of equations.

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If you want to solve the equations, it can work to put each in standard form by dividing out the common factor.

  2x -y = -3

  3x -y = -1

Subtracting the first from the second gives ...

  (3x -y) -(2x -y) = (-1) -(-3)

  x = 2 . . . . . matches choice C

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