Bianca wants to multiply the equation below by 3 so she can solve a system of linear equations with the elimination method. What will the new equation be once she multiplies? 2y - 4x = 8

Respuesta :

Answer:

[tex]6y-12x=24[/tex].....Which is the required answer.

Step-by-step explanation:

[tex]2y-4x=8[/tex]

Bianca wants to multiply the equation below by 3

So she can solve a system of linear equations with the elimination method.

To Find:

What will the new equation be once she multiplies?

Solution:

[tex]2y-4x=8[/tex]

Multiply the above equation through out by 3 we get

[tex]3(2y - 4x)=3\times 8[/tex]

Applying Distributive Property i.e A(B+C)=AB + AC we get

[tex]3\times 2y -3\times 4x=3\times 8[/tex]

[tex]6y -12x=24[/tex].....Which is the required answer.