How to sole this elimination problem

2x-5y=3

3x+4y=1

First you have to figure out the value of x in y:

2x-5y=3

2x = 3+5y

x = 3+5y / 2

the substitute the x from the first problem to the second:

3 (3+5y / 2) + 4y = 1

(9+15y/2 + 4y = 1) multiply by 2

9+15y + 8y = 2

15y+8y = 2-9

23y = - 7

y = - 7/23

after you get the y, substitute it to x:

x = 3 + 5 (-7/23) / 2

x = 3 + - 35/23 / 2

x = 69/23 + - 35/23 / 2

x = 34/23 / 2

x = 34/46