The system of equations are .

Neither variable has a common coefficient.The coefficient  of the q - variables are 8 and 5 and their least common multiple is 40, so multiply each equation by the value  that will make the y - coefficient 40.

To get two equations that contain opposite terms multiply the first equation by 5 and second equation by 8.

Write the equations in column form and add the corresponding columns to eliminate q - variable.

The resultant equation is .

Substitute the value of in either of the original equations and solve for q.

The first equation: .

.

The solution is

The option b is correct.