Answer :
Certainly! Let's go through the process to determine an equivalent equation for [tex]\( y \)[/tex] from the original equation [tex]\( 3y = 36 - 5x \)[/tex].
1. Start with the original equation:
[tex]\[
3y = 36 - 5x
\][/tex]
2. Divide every term in the equation by 3 to isolate [tex]\( y \)[/tex]:
[tex]\[
\frac{3y}{3} = \frac{36}{3} - \frac{5x}{3}
\][/tex]
3. Simplify each term:
- On the left side, [tex]\( \frac{3y}{3} \)[/tex] simplifies to [tex]\( y \)[/tex].
- On the right side:
- [tex]\( \frac{36}{3} \)[/tex] simplifies to 12.
- [tex]\( \frac{5x}{3} \)[/tex] remains as [tex]\( \frac{5}{3}x \)[/tex].
4. Write the simplified equation:
[tex]\[
y = 12 - \frac{5}{3}x
\][/tex]
Conclusion:
The work involves dividing each term on both sides of the equation by 3 correctly. It is essential to divide both terms on the right side of the equation by 3, not just the constant term 36. This gives:
[tex]\[
y = 12 - \frac{5}{3}x
\][/tex]
In summary, the original process missed dividing the coefficient of [tex]\( x \)[/tex] by 3, which needs to be correctly addressed, resulting in the equation [tex]\( y = 12 - \frac{5}{3}x \)[/tex].
1. Start with the original equation:
[tex]\[
3y = 36 - 5x
\][/tex]
2. Divide every term in the equation by 3 to isolate [tex]\( y \)[/tex]:
[tex]\[
\frac{3y}{3} = \frac{36}{3} - \frac{5x}{3}
\][/tex]
3. Simplify each term:
- On the left side, [tex]\( \frac{3y}{3} \)[/tex] simplifies to [tex]\( y \)[/tex].
- On the right side:
- [tex]\( \frac{36}{3} \)[/tex] simplifies to 12.
- [tex]\( \frac{5x}{3} \)[/tex] remains as [tex]\( \frac{5}{3}x \)[/tex].
4. Write the simplified equation:
[tex]\[
y = 12 - \frac{5}{3}x
\][/tex]
Conclusion:
The work involves dividing each term on both sides of the equation by 3 correctly. It is essential to divide both terms on the right side of the equation by 3, not just the constant term 36. This gives:
[tex]\[
y = 12 - \frac{5}{3}x
\][/tex]
In summary, the original process missed dividing the coefficient of [tex]\( x \)[/tex] by 3, which needs to be correctly addressed, resulting in the equation [tex]\( y = 12 - \frac{5}{3}x \)[/tex].