Solve the assignments below. You can do this either by trying to determine a common divisor or by cross-multiplication. Which of the two is used depends on the nature of the assignment.

1. Solve:

2. Solve:

3. Solve:

4. Solve:

5. Solve:

6. Solve:

7. For which value(s) of does the following equation have two different solutions?

8. Solve:

9. For which value(s) of does the following equation have no solutions:

10. Given the hyperbola:

and the line:

For which value(s) of is the line tangent to the hyperbola?