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Answer :
Let's analyze the process of simplifying the given equation. The original equation is:
[tex]\[ 3y = 36 - 5x \][/tex]
We are tasked with solving for [tex]\( y \)[/tex]. The suggested first step is to divide both sides of the equation by 3 to isolate [tex]\( y \)[/tex]:
1. Divide both sides by 3:
[tex]\[
\frac{3y}{3} = \frac{36}{3} - \frac{5x}{3}
\][/tex]
- The left side simplifies as follows:
[tex]\[
\frac{3y}{3} = y
\][/tex]
- For the right side, divide each term individually:
[tex]\[
\frac{36}{3} = 12 \quad \text{and} \quad \frac{5x}{3} = \frac{5x}{3}
\][/tex]
2. Simplified equation:
[tex]\[
y = 12 - \frac{5x}{3}
\][/tex]
Upon reviewing each step, we can conclude:
- Both sides of the equation were correctly divided by 3.
- Each term on the right side was divided by 3 as needed.
Thus, the work was completed correctly in writing the equivalent equation for [tex]\( y \)[/tex].
[tex]\[ 3y = 36 - 5x \][/tex]
We are tasked with solving for [tex]\( y \)[/tex]. The suggested first step is to divide both sides of the equation by 3 to isolate [tex]\( y \)[/tex]:
1. Divide both sides by 3:
[tex]\[
\frac{3y}{3} = \frac{36}{3} - \frac{5x}{3}
\][/tex]
- The left side simplifies as follows:
[tex]\[
\frac{3y}{3} = y
\][/tex]
- For the right side, divide each term individually:
[tex]\[
\frac{36}{3} = 12 \quad \text{and} \quad \frac{5x}{3} = \frac{5x}{3}
\][/tex]
2. Simplified equation:
[tex]\[
y = 12 - \frac{5x}{3}
\][/tex]
Upon reviewing each step, we can conclude:
- Both sides of the equation were correctly divided by 3.
- Each term on the right side was divided by 3 as needed.
Thus, the work was completed correctly in writing the equivalent equation for [tex]\( y \)[/tex].
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