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 \( x = 5 \).
Drag the correct steps into order to solve the equation 4x – 9 = 11 for x.
3 answers
Solve the equation. -5 + t2
= 14
= 14
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:
\[ t = \sqrt{19} \]
\[ t = -\sqrt{19} \]
\[ -5 + t^2 = 14 \]
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:
\[ t = \sqrt{19} \]
\[ t = -\sqrt{19} \]
1 answer