Select all of the equations below that are equivalent to:qr=13Use properties of equality.Multi-select Choices:(A) qr−4=10(B) qr−4=9(C) qr−2=13(D) qr−3=9
Q. Select all of the equations below that are equivalent to:qr=13Use properties of equality.Multi-select Choices:(A) qr−4=10(B) qr−4=9(C) qr−2=13(D) qr−3=9
Start with Original Equation: To determine if an equation is equivalent to qr=13, we can manipulate the original equation and compare it to the choices given. We start with the original equation:qr=13
Compare with Choice (A): Now let's compare the original equation to choice (A): qr−4=10To check if this is equivalent, we can add 4 to both sides of the equation qr=13:qr+4=13+4qr+4=17This is not equal to 10, so choice (A) is not equivalent to qr=13.
Compare with Choice (B): Next, we compare the original equation to choice (B): qr−4=9 Again, we add 4 to both sides of the equation qr=13: qr+4=13+4 qr+4=17 This is not equal to 9, so choice (B) is not equivalent to qr=13.
Compare with Choice (C): Now we compare the original equation to choice (C): qr−2=13 To check if this is equivalent, we can add 2 to both sides of the equation qr=13: qr+2=13+2 qr+2=15 This is not equal to 13, so choice (C) is not equivalent to qr=13.
Compare with Choice (D): Finally, we compare the original equation to choice (D): qr−3=9 To check if this is equivalent, we can add 3 to both sides of the equation qr=13: qr+3=13+3 qr+3=16 This is not equal to 9, so choice (D) is not equivalent to qr=13.