3x - 4y = 18

x + 3y = - 7

x=2, y=-3

Step-by-step explanation:

x+3y+-7

move variable to the right and - 3y from each side

x+3y-3y=-7-3y

x = - 7-3y

3x - 4y=18

3 (-7-3y) - 4y=18

solve for y, distribute

-21-9y-4y=18

collect like terms

-21-13y=18

move constant and change sign

-13y=18+21

add

-13y=39

divide by - 13

y = - 3

substitute

x=-7-3 (-3)

solve

x=2