Respuesta :

charliethebest2002

Answer:

[tex]\Longrightarrow: \boxed{\sf{y=3-4x}}[/tex]

Step-by-step explanation:

To solve for y, you have to isolate it on one side of the equation.

12x+3y=9

First, you have to subtract by 12x from both sides.

[tex]\Longrightarrow:\sf{12x+3y-12x=9-12x}[/tex]

Solve.

[tex]\Longrightarrow:\sf{3y=9-12x}[/tex]

Then, you divide by 3 from both sides.

[tex]\Longrightarrow:\sf{\dfrac{3y}{3}=\dfrac{9}{3}-\dfrac{12x}{3}}[/tex]

Solve.

[tex]\sf{\dfrac{9}{3}-\dfrac{12x}{3}}[/tex]

[tex]\sf{\dfrac{9-12x}{3}}[/tex]

Use the distributive property.

[tex]\underline{\text{DISTRIBUTIVE PROPERTY:}}[/tex]

⇒A(B+C)=AB+AC

9-12x=3(3-4x)

[tex]\sf{\dfrac{3\left(3-4x\right)}{3}}[/tex]


Divide the numbers from left to right.

3/3=1

3-4x

Then, rewrite the problem down.

[tex]\Longrightarrow: \boxed{\sf{y=3-4x}}[/tex]

  • Therefore, the correct answer is y=3-4x.

I hope this helps! Let me know if you have any questions.

Answer:

y = (3) - (4x)

Step-by-step explanation:

Note: Since there is only one equation given, the value of "y" will not be a fixed value.

Given equation:

  • 12x + 3y = 9

Our main goal to solve for "y" is to have the y-variable on one side, and a specific value or variable on the other side (e.g., y = 3 or y = 4x) . Start out by subtracting both sides by 12x. This will isolate the y-variable and it's cooeficient (3).

  • ⇒ 12x + 3y = 9
  • ⇒ 12x + 3y - 12x = 9 - 12x
  • ⇒ 3y = 9 - 12x

Once the y-variable and the cooeificent of the variable have been isolated, we can divide both sides by the cooeficient to isolate the variable.

  • ⇒ 3y/3 = (9 - 12x)/3
  • ⇒ y = (9 - 12x)/3
  • ⇒ y = (9 ÷ 3) - (12x ÷ 3)
  • ⇒ y = (3) - (4x)

Therefore, the value of "y" is 3 - 4x.

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