Answered

IDNLearn.com is designed to help you find reliable answers quickly and easily. Ask your questions and receive comprehensive and trustworthy answers from our experienced community of professionals.

Select the correct answer.

What is the solution of this equation?

[tex]\[ 7y - 4 = 9y + 13 - 4y \][/tex]

A. [tex]\[ y = \frac{17}{12} \][/tex]

B. [tex]\[ y = \frac{9}{2} \][/tex]

C. [tex]\[ y = \frac{3}{4} \][/tex]

D. [tex]\[ y = \frac{17}{2} \][/tex]

Sagot :

GinnyAnsweridn
To solve the equation [tex]\( 7y - 4 = 9y + 13 - 4y \)[/tex], we will go through the following steps:

1. Combine like terms on the right side:

[tex]\( 7y - 4 = 9y + 13 - 4y \)[/tex]

[tex]\( 9y - 4y \)[/tex] simplifies to [tex]\( 5y \)[/tex],

So the equation becomes:

[tex]\( 7y - 4 = 5y + 13 \)[/tex]

2. Subtract [tex]\( 5y \)[/tex] from both sides to get all the [tex]\( y \)[/tex]-terms on the left side:

[tex]\( 7y - 5y - 4 = 13 \)[/tex]

[tex]\( 2y - 4 = 13 \)[/tex]

3. Add 4 to both sides to isolate the [tex]\( y \)[/tex]-term:

[tex]\( 2y - 4 + 4 = 13 + 4 \)[/tex]

[tex]\( 2y = 17 \)[/tex]

4. Divide both sides by 2 to solve for [tex]\( y \)[/tex]:

[tex]\( y = \frac{17}{2} \)[/tex]

Therefore, the solution of the equation is [tex]\( y = \frac{17}{2} \)[/tex].

So, the correct answer is:
D. [tex]\( y = \frac{17}{2} \)[/tex]
We value your participation in this forum. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. IDNLearn.com is your reliable source for answers. We appreciate your visit and look forward to assisting you again soon.