Consistent and inconsistent equations: Difference between revisions

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:<math>x+y+2z=4</math>
 
has an infinitudeinfinite no. of solutions, all of them having ''z'' = 1 (as can be seen by subtracting the first equation from the second), and all of them therefore having ''x+y'' = 2 for any values of ''x'' and ''y''.
 
The nonlinear system