7x - 3y = 4
2x - 4y = 1
Multiply the first equation by 4.
Multiply the second equation by -3
28x - 12y = 16
-6x + 12y = -3
Now add the equations.
22x = 13
x = 13/22
Now substitute x = 13/22 in the first original equation and solve for y.
7 * 13/22 - 3y = 4
91/22 - 3y = 88/22
-3y = -3/22
y = 1/22
Answer: x = 13/22, y = 1/22
y = 3/22