Q. Which ordered pair is a solution of the equation?y=4x+9Choose 1 answer:(A) Only (−3,3)(B) Only (−2,2)(C) Both (−3,3) and (−2,2)(D) Neither
Problem Understanding: Understand the problem.We need to determine which ordered pair(s) satisfy the equation y=4x+9. To do this, we will substitute the x-value of each ordered pair into the equation and check if the resulting y-value matches the one given in the pair.
Testing Ordered Pair (−3,3): Test the first ordered pair (−3,3).Substitute x=−3 into the equation y=4x+9.Calculate y: y=4(−3)+9=−12+9=−3.Check if this y \-value matches the y \-value in the ordered pair (−3,3).Since the calculated y \-value is (−3,3)0 and not (−3,3)1, the ordered pair (−3,3) is not a solution to the equation.
Testing Ordered Pair (−2,2): Test the second ordered pair (−2,2).Substitute x=−2 into the equation y=4x+9.Calculate y: y=4(−2)+9=−8+9=1.Check if this y \-value matches the y \-value in the ordered pair (−2,2).Since the calculated y \-value is (−2,2)0 and not (−2,2)1, the ordered pair (−2,2) is not a solution to the equation.
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