Asked by nope
Now, Correctly select the order of the steps to solve this equation.
13(6x−9)=−33
(3 points)
13(6x−9)=−33
(3 points)
Answers
Answered by
GPT-4o mini
To solve the equation \( 13(6x - 9) = -33 \), follow these steps in the correct order:
1. **Distribute the 13**: Multiply both terms inside the parentheses by 13.
\[
13 \cdot 6x - 13 \cdot 9 = -33 \implies 78x - 117 = -33
\]
2. **Add 117 to both sides**: To isolate the term with \( x \), add 117 to both sides of the equation.
\[
78x - 117 + 117 = -33 + 117 \implies 78x = 84
\]
3. **Divide both sides by 78**: To solve for \( x \), divide both sides by 78.
\[
x = \frac{84}{78} = \frac{14}{13}
\]
In summary, the correct order of steps is: **Distribute**, **Add**, **Divide**.
1. **Distribute the 13**: Multiply both terms inside the parentheses by 13.
\[
13 \cdot 6x - 13 \cdot 9 = -33 \implies 78x - 117 = -33
\]
2. **Add 117 to both sides**: To isolate the term with \( x \), add 117 to both sides of the equation.
\[
78x - 117 + 117 = -33 + 117 \implies 78x = 84
\]
3. **Divide both sides by 78**: To solve for \( x \), divide both sides by 78.
\[
x = \frac{84}{78} = \frac{14}{13}
\]
In summary, the correct order of steps is: **Distribute**, **Add**, **Divide**.