What coordinate pair satisfies both 5x - 3y=22 and - 4x + y=-19

hello : coordinate pair is: (5; 1)

Step-by-step explanation:

you have this system:

5x - 3y=22 ... (1)

-4x + y = - 19 ... (2)

by (2) : y = 4x - 19

put y in (1) : 5x - 3 (4x - 19) = 22

5x - 12x + 57 = 22

- 7x = - 35

x = 5

but : y = 4x - 19 so : y = 4 (5) - 19 = 1

coordinate pair is: (5; 1)