Question

What is the value of the x variable in the solution to the following system of equations?

3x + y = 1
6x + 2y = −9

0

2

There is no x value as there is no solution to this system

x can be any value as there are infinitely many solutions to this system

Answer 1

Subtract twice the first equation from the second.
If you get 0=-11, then there is no solution.
If you get 0=0, then there are infinitely many solutions.

Answer 2

These equations form two lines.
-If the slope is different then they will at some point meet each other.
-if the slope is the same they will be parrallel and will:
a) never touch
b) always touch

Answer 3

Multiply the first equation by 2:
3x + y = 1
2(3x + y) = 2(1)
6x + 2y = 2

The second equation is
6x + 2y = -9

If 6x + 2y = 1 and 6x + 2y = 9, then the conclusion is
1 = -9, which is a false statement. Therefore there is no solution.

Answer 4

ax + by +c = 0

slope = -a/b

Answer 5

Never touch??