To solve the system of equations 2xy = 7 and 5xy = 9, we can start by expressing each equation in terms of xy.
From the first equation:
2xy = 7 can be rearranged to find the value of xy:
- xy = 7/2
From the second equation:
5xy = 9, we can also express xy:
- xy = 9/5
Now we have two expressions for xy:
- xy = 7/2
- xy = 9/5
Since both expressions represent the same value of xy, we can set them equal to each other:
7/2 = 9/5
To solve this equation, we can cross-multiply:
- 7 = 9
- 35 = 18
This indicates that there is no solution, as the equation is contradictory.
Thus, there is no solution to this system of equations as they are inconsistent.