Q. Which ordered pair is a solution of the equation?−3x+5y=2x+3yChoose 1 answer:(A) Only (2,4)(B) Only (3,3)(C) Both (2,4) and (3,3)(D) Neither
Combine like terms: Combine like terms by moving the x terms to one side and the y terms to the other side.−3x−2x+5y−3y=0
Simplify the equation: Simplify the equation by combining like terms. −5x+2y=0
Test ordered pair 2,4: Now we will test each ordered pair to see if it satisfies the equation (-5\)x + 2y = 0.First, let's test the ordered pair 2,4.Substitute x=2 and y=4 into the equation.−5(2)+2(4)=−10+8=−2Since (-2\)\ does not equal (0\), the ordered pair 2,4 is not a solution.
Test ordered pair (3,3): Next, let's test the ordered pair (3,3).Substitute x=3 and y=3 into the equation.−5(3)+2(3)=−15+6=−9Since −9 does not equal 0, the ordered pair (3,3) is not a solution.
No solution found: Since neither (2,4) nor (3,3) satisfy the equation −5x+2y=0, the correct answer is (D) Neither.
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