Two systems of equations are given below. For each system, choose the best description of its solution. If applicable, give the solution.

Question

Two systems of equations are given below.

For each system, choose the best description of its solution.

If applicable, give the solution.

-5x+y=5

5x-y=5

-2x+y=-6

2x-y=6

Answer 1

1st system: No solution. add the 2 equations gives 0=10. No value of x or y will make 0=10. Graph the lines gives 2 parallel lines which never intersect

2nd system: infinite solutions. add the 2 equations gives 0=0 Graphically the 2 equations are the same line. the 2 equations are equivalent. (0,-6), (3,0), (4,2), (5,4), (6,6) .... are among endless solutions