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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 :

GinnyAnswer
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]
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