2. What is the solution of the system?

7x + 5y = 19
–7x – 2y = –16

A.) (2, 1)
B.) (1, 2)
C.) (7, 5)
D.) (–7, –2)

I think it is A.

Good work. You're correct.

Thank you - 2 more :)

To find the solution to the system of equations, you need to solve the equations simultaneously.

Let's start by using the method of elimination to eliminate one of the variables. In this case, we can eliminate x by adding the two equations together:

(7x + 5y) + (-7x - 2y) = 19 + (-16)
7x - 7x + 5y - 2y = 19 - 16
3y = 3
y = 3/3
y = 1

Now that we have the value of y, we can substitute it back into one of the original equations to find the value of x. Let's use the first equation:

7x + 5(1) = 19
7x + 5 = 19
7x = 19 - 5
7x = 14
x = 14/7
x = 2

Therefore, the solution to the system of equations is (x, y) = (2, 1).

So you are correct, the answer is A.) (2, 1).