Answer:
(a) The system of the equations has no solution.
(b) The system of the equations has many solutions
Step-by-step explanation:
(a) To find the solutions of the following system of equations you must:
Multiply by 2:
Subtract the equations
0 = -3 is false, therefore the system of the equations has no solution.
(b) To find the solutions of the system you must:
Isolate x for
Substitute into the second equation
The system has many solutions.
Isolate y for
Answer:
The number of ways the grasshopper can reach the desired destination are 9 ways
Step-by-step explanation:
The directions in which the grasshopper can jump are;
One block north and one block west
By counting, we have;
The number of possible ways are through blocks
1) 1, 2, 5, 6, 8, 10
2) 1, 2, 5, 6, 8, 9
3) 1, 2, 5, 6, 7, 9
4) 1, 2, 3, 6, 8, 10
5) 1, 2, 3, 6, 8, 9
6) 1, 2, 3, 6, 7, 9
7) 1, 2, 3, 4, 7, 9
8) 15, 14, 16, 12, 11, 10
9) 12, 13, 16, 12, 11, 10
Therefore, there 9 ways the grasshopper can reach the desired destination.
