Solve the following system of equations. express your answer as an ordered pair in the format (a, b) with no spaces the number or symbols 2x+5y=16 -5x-2y=2

The solution is (-2,4)

Step-by-step explanation:

We'll solve the system

2x+5y=16

-5x-2y=2

using elimination by addition and subtraction.

Let's eliminate x first.  To do this, multiply the first equation by 5 and multiply the second equation by 2.  We get:

10x + 25y = 80

-10x  -  4y   = 4

          21y = 84.  Thus, y = 84/21 = 4.

Subbing 4 for y in the second equation, we get

-5x -2(4) = 2, or

   -8 - 2 = 5x, or

     -10  = 5x.  Thus, x = -10/5 = -2.

The solution is (-2,4)

the answer is a if my teacher taught me correct