Solve by using Substitution:

x=2-3y

5x-7y=4

Plug in 2-3y into the x so it would be 5 (2-3y) - 7y=4. Then you distribute, so it would be 10-15y-7y=4. Next combine like terms, so it would be 10-22y=4. Subtract 10 to both sides which then makes it 22y=-6. Divide 22 to both sides. y = 3/11. Plug 3/11 into the equation x=2-3y so it turns into x=2-3 (3/11). Then x = - 7

X = 2 - 3y - - > substitute it into the second equation

5 (2 - 3y) - 7y = 4 - - > solve

10 - 15y - 7y = 4

-22y = 4 - 10

y = - 6/-22 = 3/11

To solve for x, plug y back into the first equation:

x = 2 - 3 (3/11)

= 2 - 9/11

= 13/11