Question

Which of the equations is NOT equivalent to 4r = 13? a) 4r + 5 13 + 5 = b) 4r + 9 = 13+9 c) 4r 4 13 ÷ 13 d) 4r x 4 13 × 4 A B OC =​

Answer 1

Option c) 4r ÷ 4 = 13 ÷ 13 is not equivalent to the equation 4r = 13 because by performing the division, we get r = 1, which cannot be logically manipulated to produce the original equation 4r = 13.

Step-by-step explanation:

You asked which of the equations is NOT equivalent to 4r = 13. Let's evaluate the options provided.

• a) 4r + 5 = 13 + 5: By subtracting 5 from both sides, you get 4r = 13, which is equivalent to the original equation.
• b) 4r + 9 = 13 + 9: Subtracting 9 from both sides also gives you 4r = 13, which means it's equivalent to the original equation.
• c) 4r ÷ 4 = 13 ÷ 13: Dividing each side by their respective numbers, we get r = 1. This is not equivalent to the original equation because we cannot derive 4r = 13 from r = 1 unless we multiply r by 4, and there is no guarantee that r must equal 4.
• d) 4r × 4 = 13 × 4: If we divide both sides by 4, we return to the original equation of 4r = 13, thus they are equivalent.

Thus, option c) is not equivalent to the equation 4r = 13.