Question

identify which expressions are equivalent to the given expression.
21y - 14
which of the following is equivalent to the expression 21y - 14? select all that apply.
a. 8(3y - 1)
b. 14.8y - 14 + 6.2y
c. 7(3y - 2)

Explanation:

Step1: Analyze Option A

Expand \(8(3y - 1)\) using the distributive property \(a(b - c)=ab - ac\). So, \(8\times3y-8\times1 = 24y-8\). This is not equal to \(21y - 14\).

Step2: Analyze Option B

Combine like terms in \(14.8y-14 + 6.2y\). Combine the \(y\)-terms: \(14.8y+6.2y=21y\). So the expression becomes \(21y-14\), which matches the given expression.

Step3: Analyze Option C

Expand \(7(3y - 2)\) using the distributive property. \(7\times3y-7\times2=21y - 14\), which matches the given expression.

Answer:

B. \(14.8y - 14 + 6.2y\), C. \(7(3y - 2)\)