Respuesta :

For this case we have the following equation:

[tex]5x + 1 = 4y + 3[/tex]

We must indicate an equivalent equation that allows to obtain the value of the variabale "x"

To do this, we clear x from the given equation:

We subtract 1 from both sides of the equation:

[tex]5x = 4y + 3-1\\5x = 4y + 2[/tex]

We divide between 5 on both sides of the equation:

[tex]x = \frac {4y + 2} {5}[/tex]

ANswer:

Option D

Answer:

The correct answer option is D. [tex]x=\frac{4y+2}{5}[/tex].

Step-by-step explanation:

We are given the two models that represent the following equation:

[tex]5x+1=4y+3[/tex]

We are to determine whether which of the given equations in the answer options can be used to find the value of x.

To find the equation, we will make [tex]x[/tex] the subject in [tex]5x+1=4y+3[/tex].

[tex]5x=4y+3-1[/tex]

[tex]5x=4y+2[/tex]

[tex] x = \frac { 4 y + 2 } { 5 } [/tex]

Therefore, the correct answer option is D.