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Which ordered pair is a solution of this equation?

y= 80-8x
A (8,-8)
B (21, 10)
C (8, 16)
D (-21,-10)

User Sciritai
by
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1 Answer

5 votes

Final answer:

The correct ordered pair that is a solution to the equation y = 80 - 8x is C (8, 16). This is confirmed by substituting the x-value from the ordered pair into the equation and obtaining the corresponding y-value.

Step-by-step explanation:

The question asks which ordered pair is a solution to the equation y = 80 - 8x. To determine the correct ordered pair, we substitute the x-value of each ordered pair into the equation and see if the resulting y-value matches the one in the pair.

  • A (8,-8): When x=8, y = 80 - 8(8) = 80 - 64 = 16, which does not match the y-value of -8, so A is not a solution.
  • B (21, 10): When x=21, y = 80 - 8(21) = 80 - 168 = -88, which does not match the y-value of 10, so B is not a solution.
  • C (8, 16): As calculated previously for A, when x=8, y = 16, which matches the pair, so C is a solution.
  • D (-21,-10): When x=-21, y = 80 - 8(-21) = 80 + 168 = 248, which does not match the y-value of -10, so D is not a solution.

Therefore, the correct answer is C (8, 16), as it is the ordered pair that satisfies the equation y = 80 - 8x.

User Aurore
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