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
Check Solution (−3,3): Step 1: Let's determine if the ordered pair (−3,3) satisfies the equation y=4x+9. Substituting x=−3 into the equation yields y=4∗(−3)+9. Simplifying, we get y=−12+9, which simplifies to y=−3. Since y=−3 does not equal 3, the ordered pair (−3,3) is not a solution.
Check Solution (−2,2): Step 2: Now, let's check the second option (−2,2). For this option, x=−2. Substitute x=−2 into the equation y=4x+9. This gives us y=4∗(−2)+9. Simplifying this, we get y=−8+9, which simplifies to y=1. Since y=1 does not equal 2, the ordered pair (−2,2) is not a solution of the equation.
Final Conclusion: Step 3: Since neither of the ordered pairs (−3,3) nor (−2,2) is a solution of the equation y=4x+9, the correct answer is Neither.
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