7x - 3y = 4 2x - 4y = 1 The solution to the system of equations is

7x-3y=4 ... (1)

2x-4y=1 ... (2)

4 (1) - 3 (2) [-4 is the coefficient of y in (2), - 3 is the coefficient of y in (1) ]

28x-12y = 16 ... (1a)

6x-12y = 3 ... (2a)

Subtract

22x = 13

solve

x=13/22 ... (3)

Substitute (3) in (1)

7 (13/22) - 3 (y) = 4

solve for y

91/22-3y=4

3y = (91-88) / 22=3/22

y=1/22

Answer: the solution is (13/22, 1/22)