Katarina wrote the standard form of a linear equation as 4x – 2/3 y = 8. Sofiya told her that the equation was not yet in standard form and gave her the right advice for how to fix it. What advice did Sofiya give to Katarina?

A. Multiply both sides of the equation by 3. The standard form of the equation is 12x – 2y = 24.

B.Multiply both sides of the equation by 3 and then divide both sides by 2. The standard form of the equation is 6x – y = 12.

C.Multiply both sides of the equation by 3. The standard form of the equation is 12x – 2y = 8.

D.Multiply both sides of the equation by 3 and then divide both sides by 2. The standard form of the equation is 6x – y = 4.

Respuesta :

The standard form of a linear equation in general is given by:

[tex]ax+by=c[/tex]

Now we are given the equation :

[tex]4x-\frac{2}{3}y=8[/tex]

In order to convert this into standard equation, we have to eliminate the 3 in the second term on the left side of equation.

Here 3 is in division ,so we have to perform opposite operation of division that is multiplication.

So multiplying both sides by 3 , we have

[tex]12x-2y=24[/tex]

So that means option A.Multiply both sides of the equation by 3. The standard form of the equation is 12x – 2y = 24. is the correct advice given by Sofiya.


Answer:

a

Step-by-step explanation:

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