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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.

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