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Analyze the work used to write an equivalent equation for y from the equation [tex]3y = 36 - 5x[/tex].

1. Divide both sides by 3:
\[
\frac{3y}{3} = \frac{36}{3} - 5x
\]
Simplifying, we get:
\[
y = 12 - 5x
\]

What can you conclude about the work?

A. The work was completed correctly.
B. Both sides needed to be multiplied by 3, rather than divided by 3.
C. When dividing 36 by 3, the answer should have been [tex]\frac{1}{12}[/tex], not 12.
D. Both terms on the right side need to be divided by 3, not just the 36.

Answer :

Answer:Analysis of the Work for Writing an Equivalent Equation for y

The given equation is 3y = 36 - 5x. The process used to write an equivalent equation for y involved dividing both sides by 3:

Divide both sides by 3:

StartFraction 3y Over 3 EndFraction = StartFraction 36 over 3 EndFraction minus 5x

y = 12 minus 5x

Step-by-step explanation:

Conclusion about the Work

The conclusion about the work done to write an equivalent equation for y is that it was completed incorrectly. The correct approach should have been to multiply both sides by 1/3 instead of dividing by 3. When dividing 36 by 3, the result should have been 12/3 or simply 4, not just 12. Additionally, both terms on the right side of the equation needed to be divided by 3, not just the constant term.

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