Question

How many solutions are there to the following system of equations?

3x - 9y =0
-x + 3y = -3

A.1

B. 2 <------

C. infinitely many

D. 0

Answer 1

0

Answer 2

Would you like me to explain why?

Answer 3

yes please @dancerjeff

Answer 4

okay... If you use the method of elimination...

Step 1) Multiply one of the equations so at least one term cancels out when you add.

Answer 5

Step 2) Add the top and bottom equation vertically and combine like terms like so...

3x - 9y = 0
+ -3x + 9y = -9
_________________________
0x + 0y = -9
Simplify knowing that 0 multiplied by anything is still zero.
0 + 0 = -9
0 = -9

As you can see, this statement is false. So, there are no or 0 solutions.

Answer 6

thank you @dancerjeff

Answer 7

No prob! ;)