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Start with the second equation.

Rearrange the terms.
So we have the system of equations:
Add the equations together. You can do this by simply adding the two left sides and the two right sides separately like this:

Group like terms.

Combine like terms. Notice how the x and y terms cancel out.

Simplify.
Since

is
always true, this means that there are an infinite number of solutions. So the system is consistent and dependent.