Question

Find a pair of numbers that is a member of both y=-3x-27 and y=5+x

Answer 1

Answer:

  (x, y) = (-8, -3)

Step-by-step explanation:

If all you want is a quick solution, I find a graphing calculator to be very handy. The one used in the attachment shows the solution to be (x, y) = (-8, -3).

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You can use one equation to substitute for y in the other equation:

  -3x -27 = 5 +x

  -32 = 4x . . . . . . add 3x-5 to both sides

  -8 = x . . . . . . . . divide by 4

  y = 5 +(-8) = -3 . . . . . use the second equation to find y

The pair of numbers that satisfies both equations is ...

  (x, y) = (-8, -3)