Which statement describes the system of equations?
(5x-3y = 34
(x-2y = 4

A) It has infinitely many solutions.

B) It has no solution.

C) it has one solution (24/13,-14/13)

D) It has one solution (8, 2).

D. The solution is (8, 2).

Step-by-step explanation:

x -  2y = 4

5x -3y = 34       Multiply the first equation by 5:

5x - 10y = 20    Subtract:

0 + 7y = 14

y = 2.

Substitute for y in the first equation:

x - 2*2 = 4

x = 4+4 = 8.

d

step-by-step explanation:

given

y + 3 = - 4(x - 2) ← distribute the parenthesis

y + 3 = - 4x + 8 ( subtract 3 from both sides )

y = - 4x + 5 → d