correctly select the order of the steps to solve this equation

Question

-5x + 2 = 67

Answer 1

To solve the equation \(-5x + 2 = 67\), you can follow these steps in order:

1. Subtract 2 from both sides of the equation to isolate the term with \(x\): \[ -5x + 2 - 2 = 67 - 2 \] Simplifying this gives: \[ -5x = 65 \]

2. Divide both sides by -5 to solve for \(x\): \[ x = \frac{65}{-5} \] Simplifying this gives: \[ x = -13 \]

So, the correct order of steps is:

1. Subtract 2 from both sides.
2. Divide by -5.

The final solution is \(x = -13\).

Answer 2

correctly select the order of the steps to solve this equation

r/5 - 6 = -1

Answer 3

To solve the equation \(\frac{r}{5} - 6 = -1\), you can follow these steps in order:

1. Add 6 to both sides of the equation to isolate the term with \(r\): \[ \frac{r}{5} - 6 + 6 = -1 + 6 \] Simplifying this gives: \[ \frac{r}{5} = 5 \]

2. Multiply both sides by 5 to solve for \(r\): \[ r = 5 \times 5 \] Simplifying this gives: \[ r = 25 \]

So, the correct order of steps is:

1. Add 6 to both sides.
2. Multiply both sides by 5.

The final solution is \(r = 25\).