Explanation:
5x+6y = 61
2x+4y= 34 <=====multiply this equation by -1.5 to get :
-3x -6y = - 51 <===now, dd this to the top equation (this will eliminate 'y')
2x = 10
x = 5 <===use this value of 'x' in one of the equations to calculate 'y'
5x + 6y = 61
5(5) + 6y = 61
6y = 36
y = 6