What is the solution to the system of equations?

3 x minus 4 y = 16. 2 x + 3 y = 5.

(-4, 1)

(4, - 1)

(-4, - 1)

(4, 1)

(4, - 1)

Step-by-step explanation:

3 x minus 4 y = 16

2 x + 3 y = 5

3x - 4y = 16

2x + 3y = 5

x = 2.5 - 1.5y

3 (2.5 - 1.5y) - 4y = 16

7.5 - 4.5y - 4y = 16

-8.5 = 8.5y

y = - 1

x = 2.5 - 1.5 (-1)

x = 2.5 + 1.5

x = 4

(4, - 1)