Answer :
The given linear equations are infinite number of solution.
Step-by-step explanation:
The given linear equations are:
6x + 45y = 192 ........... (1)
and - 4x - 30y = - 120 ........... (2)
To find, the number of solutions = ?
Multiplying (1) by 1.5, we get
1.5(- 4x - 30y) = 1.5(- 120)
- 6x - 45y = - 180 ........... (3)
Adding equations (1) and (3), we get
6x + 45y - 6x - 45y = 192 - 180
0 = - 12
Thus, the given linear equations are infinite number of solution.