Answered

IDNLearn.com provides a reliable platform for finding accurate and timely answers. Discover the information you need from our experienced professionals who provide accurate and reliable answers to all your questions.

solving special systems.

Solving Special Systems class=

Sagot :

Given:

The equations of system of equations are

[tex]y=-4x-6[/tex]

[tex]-4x-y-6=0[/tex]

To find:

The solution of given system of equations.

Solution:

We have,

[tex]y=-4x-6[/tex]         ...(i)

[tex]-4x-y-6=0[/tex]         ...(ii)

Adding y on both sides in (ii), we get

[tex]-4x-6=y[/tex]

[tex]y=-4x-6[/tex]

It is same as equation (i). So, we can say that equation (i) and (ii) represent the same line or they are coincident.

Thus, the system of equations has infinitely many solutions.

Therefore, the correct option is C.

Thank you for using this platform to share and learn. Keep asking and answering. We appreciate every contribution you make. Your questions deserve reliable answers. Thanks for visiting IDNLearn.com, and see you again soon for more helpful information.