7x + 1 by = 1/3

2x + 2y = 28

7x+1 = (1/3)

2x + 2y = 28

Systems of equations.

Solve equation with single variable first.

7x+1 = (1/3), x = (-2/21)

Substitute the value of x in second equation and solve for y.

2 (-2/21) + 2y = 28, y = (296/21)

I'm assuming that isn't the correct answer because you wrote the first equation incorrectly.