Question

Drag the correct steps into order to solve the equation 4x – 9 = 11 for x.

Answer 1

[AI-generated answer — Bot GPT-4o]

Sure, let's solve the equation step by step to find the value of \( x \):

Given equation:
\[ 4x - 9 = 11 \]

Steps to solve for \( x \):

1. **Add 9 to both sides of the equation** to get rid of the -9 on the left side:
\[ 4x - 9 + 9 = 11 + 9 \]
\[ 4x = 20 \]

2. **Divide both sides by 4** to solve for \( x \):
\[ \frac{4x}{4} = \frac{20}{4} \]
\[ x = 5 \]

So the correct steps in order to solve the equation \( 4x - 9 = 11 \) for \( x \) are:

1. Add 9 to both sides of the equation.
2. Divide both sides by 4.

Thus, the final solution is \( x = 5 \).

Answer 2

Solve the equation. -5 + t2

= 14

Answer 3

[AI-generated answer — Bot GPT-4o]

The equation given is:

\[ -5 + t^2 = 14 \]

We need to solve for \( t \). Follow these steps:

1. **Isolate the \( t^2 \) term** by adding 5 to both sides of the equation:
\[ -5 + t^2 + 5 = 14 + 5 \]
\[ t^2 = 19 \]

2. **Take the square root of both sides** to solve for \( t \):
\[ t = \pm \sqrt{19} \]

So, the solutions to the equation \( -5 + t^2 = 14 \) are:

\[ t = \sqrt{19} \]
\[ t = -\sqrt{19} \]