Question

if $9×4 = 36$, does $9×4 + 5 = 36 + 6$? explain.

choose the correct answer below.

a. yes. the same number was added to each side of the equation.

b. no. the second equation is not exactly the same as the first equation, so it cannot be true.

c. yes. both equations have $9×4$ on the left side and 36 on the right side.

d. no. a different number was added to each side of the equation.

Explanation:

To determine if \(9\times4 + 5=36 + 6\) is true given \(9\times4 = 36\), we analyze the addition to each side. The left - hand side of the original equation \(9\times4 = 36\) has \(5\) added to it (resulting in \(9\times4+5\)), and the right - hand side has \(6\) added to it (resulting in \(36 + 6\)). For an equation to remain true when adding a number to both sides, the same number must be added to both sides. Since \(5
eq6\), a different number was added to each side. So the answer is D.

Answer:

D. No. A different number was added to each side of the equation.