Respuesta :

Is there any answer choices to what we are looking for?

Answer:

[tex]\large \boxed{\displaystyle y = \frac{1}{5} x + 2}[/tex]

[tex]\large \boxed{\displaystyle y = x - \frac{1}{4}}[/tex]

[tex]\large \boxed{y=-2x+4}[/tex]

Step-by-step explanation:

[tex]5y - x = 10[/tex]

Add x to both sides

[tex]5y = x + 10[/tex]

Divide both sides by 5

[tex]\displaystyle y = \frac{1}{5} x + 2[/tex]

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

Subtract 4x from both sides

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

Divide both sides by -4

[tex]\displaystyle y = x - \frac{1}{4}[/tex]

[tex]3y+6x=12[/tex]

Subtract 6x from both sides

[tex]3y=-6x+12[/tex]

Divide both sides by 3

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