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Which ordered pair is a solution of the equation?

y=4x+9
Choose 1 answer:
(A) Only 
(-3,3)
(B) Only 
(-2,2)
(C) Both 
(-3,3) and 
(-2,2)
(D) Neither

Which ordered pair is a solution of the equation?\newliney=4x+9y=4x+9\newlineChoose 11 answer:\newline(A) Only (3,3)(-3,3)\newline(B) Only (2,2)(-2,2)\newline(C) Both (3,3)(-3,3) and (2,2)(-2,2)\newline(D) Neither

Full solution

Q. Which ordered pair is a solution of the equation?\newliney=4x+9y=4x+9\newlineChoose 11 answer:\newline(A) Only (3,3)(-3,3)\newline(B) Only (2,2)(-2,2)\newline(C) Both (3,3)(-3,3) and (2,2)(-2,2)\newline(D) Neither
  1. Problem Understanding: Understand the problem.\newlineWe need to determine which ordered pair(s) satisfy the equation y=4x+9y=4x+9. To do this, we will substitute the xx-value of each ordered pair into the equation and check if the resulting yy-value matches the one given in the pair.
  2. Testing Ordered Pair (3,3) (-3,3) : Test the first ordered pair (3,3) (-3,3) .\newlineSubstitute x=3 x = -3 into the equation y=4x+9 y = 4x + 9 .\newlineCalculate y y : y=4(3)+9=12+9=3 y = 4(-3) + 9 = -12 + 9 = -3 .\newlineCheck if this y \-value matches the y \-value in the ordered pair (3,3) (-3,3) .\newlineSince the calculated y \-value is (3,3) (-3,3) 00 and not (3,3) (-3,3) 11, the ordered pair (3,3) (-3,3) is not a solution to the equation.
  3. Testing Ordered Pair (2,2) (-2,2) : Test the second ordered pair (2,2) (-2,2) .\newlineSubstitute x=2 x = -2 into the equation y=4x+9 y = 4x + 9 .\newlineCalculate y y : y=4(2)+9=8+9=1 y = 4(-2) + 9 = -8 + 9 = 1 .\newlineCheck if this y \-value matches the y \-value in the ordered pair (2,2) (-2,2) .\newlineSince the calculated y \-value is (2,2) (-2,2) 00 and not (2,2) (-2,2) 11, the ordered pair (2,2) (-2,2) is not a solution to the equation.

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