Problem : Which ordered pair(s) in the set {(7, 5),(5, 7),(13, 11),(- 2, 17)} satisfy the following system of equations?

10x + 7y=99  
y - x=2  

{(5, 7)}

Problem : Which ordered pair(s) in the set {(2, 5),(2, -9),(5, 2),(- 5, -2),(- 5, 12)} satisfy the following system of equations?

x + y=7  
x2 + 3x=10  

{(2, 5),(- 5, 12)}

Problem : Solve by graphing:

y - 3x=-3  
y - 4=- (x + 2)  


(x, y) = (2, 3)

Problem : Solve by graphing:

y=- x + 2  
y + 1=4(x + 3)  


(x, y) = (- 2, 3)

Problem : Is the following system consistent or inconsistent? Dependent or independent?

2x + 4y=7  
x + 2y=7  

Inconsistent, independent.

Problem : Is the following system consistent or inconsistent? Dependent or independent?

y=- x + 9  
y=- x + 9  

Consistent, independent.

Problem : Is the following system consistent or inconsistent? Dependent or independent?

3x - 7y=6  
9x - 21y=18  

Consistent, dependent.