Question

What is the solution to this system of equation below

1/2x+3y=8
x+y=-8

Answer 1

x=-64/5 and y=24/5

Explanation:

1/2 x+3y=8 --------(i)

x+y=-8------------(ii)

from equation (ii), y=-8-x -------(iii)

substitute (iii) into (i)

1/2 x +3(-8-x)=8

1/2 x-24-3x=8

-5/2 x -24=8

-5/2 x= 8+24

-5/2 x= 32

-5x= 64

x=64/-5= -64/5

substitute x into (iii)

y=-8-(-64/5)

y= -8+64/5

y=(-40+64)/5

y=24/5