Neither variable has a common coefficient.The coefficient  of the x - variables are 5 and 2 and their least common multiple is 10, so multiply each equation by the value  that will make the x - coefficient 10.

To get two equations that contain opposite terms multiply the first equation by negative 2 and multiply the second equation by 5.

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

The resultant equation is 54y = 162 ------> y = 3.

Substitute the value of y = 3 in either of the original equations and solve for x.

The first equation: 5x - 7y = - 16.

5x - 7(3) = - 16

5x - 21 = - 16

5x = 5

x = 1.

The solution (x, y) = (1, 3).