Question

if $17 - 3 = 14$, does $17 - 3 - 4 = 14 - 3$? explain.

choose the correct answer below.

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

b. yes. both equations have $17 - 3$ on the left side and $14$ on the right side.

c. yes. the same number was subtracted from each side of the equation.

d. no. a different number was subtracted from each side of the equation.

Explanation:

Step1: Analyze the first equation

The first equation is \(17 - 3=14\).

Step2: Analyze the second equation formation

To get the second equation \(17 - 3-4 = 14 - 3\), we subtract 4 from the left - hand side (LHS) of the first equation (\(17 - 3\)) and subtract 3 from the right - hand side (RHS) of the first equation (14). For an equation \(a = b\) to remain true when we perform operations on both sides, we need to perform the same operation on both sides. Here, we subtracted 4 from the LHS and 3 from the RHS, which are different numbers. So the second equation is not equivalent to the first equation.

Answer:

D. No. A different number was subtracted from each side of the equation.