How many solutions does 6x+45y=192 and - 4x-30y=-120 have

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.