Question

Solve the system of equations using the elimination method and give your answer as an ordered pair:

-5x - 3y = -16

-x + 9y = 64

Answer 1

The elimination method puts two equations on top of each other and "adds" or "subtracts" one equation from another to eliminate a variable.
Say we want to get rid of y. You would manipulate the equations so that the y-values in each would be opposite integers. So here, we can manipulate -3y to -9y so the y's will be cancelled with the 9y in the second equation.

Answer 2

-5x-3y=-16 ---times three---> -15x-9y=-48
second equation --------------> -x+9y= 64
adding both equations ---------> -16x+0y= 16
so, -16x=16 and x=-1

Answer 3

Now you can solve for y by substituting -1 into x, and you'll have your ordered pair