Question

Find the solution of the system of equations.
2x+5y=-11
-8x-5y= -1

Answer 1

x = 2 , y = -3

Explanation:

by elimination method

+5y in equation 1 cancel -5y in equation 2

2x - 8x = -11 - 1

-6x = -12

divide both sides by - 6

- 6x/ -6 = -12/-6

x = 2

substitute x = 2 into equation ii

- 8 (2) - 5y = - 1

- 16 - 5y = - 1

collect like terms

- 5y = -1 + 16

- 5y = 15

divide both sides by -5y

-5y/-5y = 15/-5y

y = - 3