Question

Solving x + 3y = 5 and -x - y = -3 by eliminationg.

Answer 1

Answer:

  (x, y) = (2, 1)

Step-by-step explanation:

The x-coefficients are opposites of each other, so the x variable will be eliminated if the two equations are added.

  (x +3y) +(-x -y) = (5) +(-3)

  2y = 2

  y = 1

Substituting into the first equation gives ...

  x +3(1) = 5

  x = 2 . . . . . . . subtract 3

The solution is (x, y) = (2, 1).