Question

Solve the system 12x + 6y=6 and 4y= -8x+4

Answer 1

Answer:

Infinitely many solutions

Step-by-step explanation:

The given system of equations is:

12x + 6y = 6..........(1)

4y = -8x + 4............(2)

Divide equation (1) by 6

`\begin{gathered} (12x)/(6)+(6y)/(6)=\text{ }(6)/(6) \\ 2x\text{ + y = 1} \\ y\text{ = -2x +1}\ldots\ldots\ldots\ldots.(1) \end{gathered}`

Divide equation (2) by 4

`\begin{gathered} (4y)/(4)=\text{ }(-8x)/(4)+(4)/(4) \\ y\text{ = -2x + 1}\ldots\ldots\ldots(2) \end{gathered}`

Equations (1) and (2) are equal, they have infinitely mny solutions