Solve the system by any method if possible If a system is in

Solve the system by any method if possible. If a system is inconsistent or if the equations dependent, state this.

Solution

We have given equations are ,

0.07x = 0.05 + 0.09y

multiply both sides by 100

=> 7x = 5 + 9y

=> 7x - 5 = 9y..........................................................................................(1)

7x - 9y = 8 ............................................................................................(2)

just write above two equations in standard form.

=> 7x -9y =5 and 7x -9y = 8

subtract second equation from (1)

=> 7x - 9y = 5

- 7x - 9y = 8

-----------------------------------------

0 = -3

Therefore, no solution.

system is inconsistent.