Question

solve the system for equations using the elimination method. show your work. write your solution as an ordered pair

Answer 1

(x, y) = (3, -6)

x = 3

y = -6

Step-by-step explanation

We are asked to use elimination method to solve the system of equations.

x + 5y = -27

-2x - 5y = 24

To do this, we just need to add the two equations

x + 5y = -27

-2x - 5y = 24

___________

x - 2x + 5y - 5y = -27 + 24

-x + 0 = -3

-x = -3

x = 3

We can then solve for y

x + 5y = -27

x = 3

x + 5y = -27

3 + 5y = -27

5y = -27 - 3

5y = -30

Divide both sides by 5

(5y/5) = (-30/5)

y = -6

Hope this Helps!!!