Systems of nonlinear equations and inequalities

9000022907

Level: 
C
Solve the following system of equations and identify a true statement. |x−2|+y=2−2|5+x|−3y=−5
The system has two solutions. Both solutions satisfy y<0.
The system has a unique solution. This solution satisfies y>0.
The system has two solutions. Both solutions satisfy y>0.
The system has more than two solutions.
The system does not have any solution.

9000031106

Level: 
C
Solve the following system of equations and identify a correct statement. x+y=|x|x+y=4
The system has two solutions [x1,y1], [x2,y2], where x1=−x2.
The system does not have any solution.
The system has a unique solution.
The system has two solutions [x1,y1], [x2,y2], where x1=x2.