Question

Solve the system. Tell how many solutions the system has.2x + 6y = -4(x+3y= -2solution(s).The system has (select)(select)noinfinitely manyone

Answer 1

We have the following system:

$\begin{gathered} 2x+6y=-4\ldots(A) \\ x+3y=-2\ldots(B) \end{gathered}$

we can see that if we multiply equation B by 2, we get

$\begin{gathered} 2(x+3y=-2) \\ 2x+6y=-4 \end{gathered}$

which is question A. This means that equation A and B are equivalent. In other words, the system has infinitely many solutions.