Question

Question provided in photo only need help with system b

Answer 1

Answer:

Consistent dependent

Infinitely many solutions

Step-by-step explanation:

The given system of equations is:

`\begin{gathered} y=-(3)/(2)x\ldots\ldots\ldots....\ldots\ldots\ldots\text{.}(1) \\ 3x+2y=0\ldots\ldots\ldots\ldots.......\ldots(2) \end{gathered}`

A system of equations is consistent if it has at least one solution.

A system of equations is dependent if it has infinite number of solutions.

Considering the graph of the lines drawn in the question, the two lines are perfectly drawn on each other, which means that there are infinite numbers of solutions.

Therefore, the system of equations is consistent dependent.

This means that the system has infinitely many solutions. mber