What is the solution to the system of linear equations? 2x + y = 7
x - 2y = 16
A)(4,-1)
B)(-1,9)
C)(6,-5)
D)(-5,6)

(6, -5)  (Answer C)

Step-by-step explanation:

Multiply the first equation by 2.  We get the following equivalent system:

4x + 2y = 14

 x - 2y  = 16

  5x = 30, or x = 6.

Substituting 6 for x in the second equation, we get

6 - 2y = 16, or

  -  2y = 10, so that y = -5

and the solution is (6, -5)  (Answer C)