Question

Solve the system of linear equations by elimination (addition) method.

x - y = 3
3x + y = -3
Note: Write your answer as an ordered pair. Ex: (1,2). DO NOT USE SPACES

Answer 1

(0, - 3 )

Explanation:

given the system of equations

x - y = 3 → (1)

3x + y = - 3 → (2)

adding the 2 equations term by term will eliminate y

(x + 3x) + (- y + y) = 3 - 3

4x + 0 = 0

4x = 0 ⇒ x = 0

substitute x = 0 into either of the 2 equations and solve for y

substituting into (2)

3(0) + y = - 3

0 + y = - 3

y = - 3

solution is (0, - 3 )