A system is linearly dependent, when multiplying one of the equations by a scalar, you get the other equation.
We then have the following system of equations:
[tex]x - y = 2
-2x + 2y = -4[/tex]
Let's rewrite the system of equations.
To do this, let's multiply equation 1 by scalar -2:
[tex]-2x - (-2) y = (-2) 2
-2x + 2y = -4[/tex]
We observe that we obtain equation 2 of the system.
Therefore, the system is linearly dependent.
Answer:
the following system is dependent:
x - y = 2 and -2x + 2y = -4
