Answer:
Option A is correct.
(2, 1) is the solution to the given system.
Explanation:
Given the system of equation:
7x + 5y =19 ......[1]
-7x -2y = -16 ......[2]
Add equation [1] and [2] to eliminate x and solve for y;
(7x + 5y)+(-7x-2y) = 19+(-16)
7x + 5y - 7x -2y = 19-16
Combine like terms;
3y = 3
Divide by 3 on both sides we get;
y = 1
Substitute the value of y in equation [1] to solve for x;
7x + 5(1) = 19
7x + 5 =19
Subtract 5 from both sides we get;
7x + 5 -5 =19-5
Simplify:
7x = 14
Divide both sides by 7 we get;
x = 2
Therefore, the solution for the given system is, (2, 1)