2x-7y = - 1

3x - 5y = - 4

y=-5/11 and x=-23/11

Step-by-step explanation:

We can use the elimination method

We have

2x-7y = - 1 and

3x - 5y = - 4

We can multiply the first equation by 3 and the second by 2. This gives us

3 (2x-7y) = - 1 (3) and

2 (3x - 5y) = - 4 (2)

Distributing and simplifying results in

6x-21y=-3 and

6x-10y=-8

Subtracting the second equation from the first, we get

0x-11y=5

-11y=5

y=-5/11

putting this into the first equation, we get

2x-7 (-5/11) = -1

2x+35/11=-1

x = (-1-35/11) / 2

x=-23/11