Question

Solve the following system using the addition method:

-27x + 6y = -21
-12x +3y = -9
(3 points, 2 for work, 0.5 for each part of the solution (x,y))

Answer 1

(X,Y)= (1,1)

Step-by-step explanation:

Answer 2

(x, y) = (1, 1)

Step-by-step explanation:

`-27x + 6y = -21` --- (1)

`-12x +3y = -9` --- (2)

Multiplying (2) by -2 to get:

`24 x - 6 y = 1 8` --- (3)

Adding (1) and (3) to get:

`-27x + 6y = -21`

`24x-6y=18`

------------------------------------

`-3x=-3`

x = 1

Finding y:

`-12(1) +3y = -9`

`3y=-9+12`

`3y=3`

y = 1

Therefore, (x, y) = (1, 1).