Question

Solve the following linear equation by graphing and answer the questions below

Answer 1

The system has infinity solutions

To solve this, the problem ask us to write the system as a linear equation.

TO do this, we need to let a single variable in one side.

Let's do this with y:

$\begin{cases}-6x+2y=-12 \\ -3x+y=-6\end{cases}$

For the first equation:

$\begin{gathered} -6x+2y=-12 \\ 2y=6x-12 \\ y=3x-6 \end{gathered}$

For the second equation:

$\begin{gathered} -3x+y=-6 \\ y=3x-6 \end{gathered}$

Now you have to write in the first blank spaces:

y = 3 x + -6

y = 3 x + -6

Now you'll see that both lines are the same, then the system has infinite solutions, all points of one line will be on the other