Use the substitution method to solve the system of equations. Choose the correct ordered pair. x+2y=12
-x=-y-6

a. (6,0)
b. (7,1)
c. (8,2)
d. (9,3)

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  c.  (8, 2)

Step-by-step explanation:

Multiplying the second equation by -1 gives an expression for x that can be substituted into the first equation.

  x = y +6

  (y +6) +2y = 12

  3y = 6 . . . . . . . subtract 6

  y = 2 . . . . . . . . eliminates all choices except C

Using the expression for x, we can find the complete solution:

  x = y +6 = 2 +6 = 8

  (x, y) = (8, 2) . . . . matches choice C

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step-by-step explanation:

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