Respuesta :

johnrampson

Step-by-step explanation:

Step: Solvey=3x+6for y:

y=3x+6

Step: Substitute3x+6foryin6x−2y=−12:

6x−2y=−12

6x−2(3x+6)=−12

−12=−12(Simplify both sides of the equation)

−12+12=−12+12(Add 12 to both sides)

0=0

Infinitely many solutions.

alinakincsem

Answer:

The correct answer option is dependent.

Step-by-step explanation:

We are given the following two equations and we are to determine whether these are independent, dependent or inconsistent:

[tex]y = 3x + 6[/tex] --- (1)

[tex]6x - 2y = -12[/tex] --- (2)

To compare these equations with each other, it is a good idea to write them in the same format with y being the subject. So rearranging equation (2) to get:

6x - 2y = -12

6x + 12 = 2y

2y = 6x + 12

y = 3x + 6

A system of equations is said to be dependent when the same line is written in two different forms so that there are infinite solutions.

Hence, this system of equations is dependent having infinite solutions.

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