Question

17 select all the expressions equivalent to 12x - 3.7 + 2x + 13.3 + 4.1y. 17x + 4.1y + 6.9 14x + 4.1y + 9.6 14x + 4.1y + 10 9.6x + 4.1y + 16 2(7x + 4.8) + 4.1y

Explanation:

Step1: Combine like terms for x

Combine \(12x\) and \(2x\).
\(12x + 2x = 14x\)

Step2: Combine constant terms

Combine \(-3.7\) and \(13.3\).
\(-3.7 + 13.3 = 9.6\)

Step3: Rewrite the original expression

The original expression \(12x - 3.7 + 2x + 13.3 + 4.1y\) simplifies to \(14x + 4.1y + 9.6\) after combining like terms.

Step4: Check the last option

Simplify \(2(7x + 4.8) + 4.1y\):
First, distribute the 2: \(2\times7x + 2\times4.8 + 4.1y = 14x + 9.6 + 4.1y\), which is the same as \(14x + 4.1y + 9.6\).

Answer:

B. \(14x + 4.1y + 9.6\)
E. \(2(7x + 4.8) + 4.1y\)

(Note: In the options, the second option is \(14x + 4.1y + 9.6\) and the last option \(2(7x + 4.8) + 4.1y\) also simplifies to the same expression.)