SOLUTION: Can I please have your assistance? What kind of system is 2x + y = 3, -6x - 3y = -9?

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Question 1042297: Can I please have your assistance? What kind of system is 2x + y = 3, -6x - 3y = -9?
Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!

2x + y = 3, -6x - 3y = -9?

It is a linear system of equations in 2 unknowns, x and y.

When we try to solve it,

we solve the 1st equation for y

2x + y = 3
     y = 3 - 2x

Substitute in the 2nd equation:

-6x - 3(3 - 2x) = -9
   -6x - 9 + 6x = -9
             -9 = -9

The x's cancel.  When all the letters cancel
out and we are left with a true equation,
there are infinitely many solutions.

It is called a DEPENDENT system.

Edwin
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