Question

Given the equation 6x − 1 = 11, which order of operations completely solves for x? (1 point)

Add 1, then divide by 6
Add 11, then divide by −1
Subtract 1, then divide by 6
Subtract 11, then divide by −1

Answer 1

The correct option will be:   "Add 1, then divide by 6"

Explanation

The given equation is:   $6x-1=11$

Solving for $x$ means, we need to get $x$ by itself in the left side. So, we will try to eliminate all other terms except that $x$ from the left side.

First we can see that 1 is subtracted in left side, so for eliminating it we need to add 1 to the both sides. So, we will get......

$6x-1+1= 11+1\\ \\ 6x=12$

Now, 6 is in multiplied with $x$ in left side. So, for eliminating it, we need to divide both sides by 6. Thus, we will get.....

$\frac{6x}{6}=\frac{12}{6}\\ \\ x =2$

So, the order of operations for solving $x$ will be:   "Add 1, then divide by 6"