Question

Please explain step by step

Answer 1

A and B

Explanation:

Given equation:

`2 - 3bx = 7`

If we subtract 2 from both sides of the given equation, we get:

`\begin{aligned}2-3bx-2&=7-2\\\\-3bx&=5\end{aligned}`

This matches answer option A.

If we then divide both sides of the equation by -3b to isolate x, we get:

`\begin{aligned}(-3bx)/(-3b)&=(5)/(-3b)\\\\x&=-(5)/(3b)\end{aligned}`

This matches answer option B.

Therefore, the equations that are equivalent to 2 - 3bx = 7, where b ≠ 0, are:

`\large\boxed{\boxed{\begin{aligned}\textsf{A.}\quad &-3bx=5\\\textsf{B.} \quad &x=-(5)/(3b)\end{aligned}}}`