Answer:
x=-8 y=10
Step-by-step explanation:
Rewrite equations:
1/2x+1/2y=1;1/3x+1/4y=-1/6
1/2x+1/2y+1
1/2x+1/2y=1
subtract both sides by(-1)/2y
1/2x+1/2y+(-1/2y)=1+(-1/2y)
1/2x=-1/2y+1
divide both sides by 1/2
1/2x/1/2=-1/2y+1/1/2
x=-y+2
substitue -y+2 for x in 1/3x+1/4y=-1/6
1/3x+1/4y=-1/6
1/3(-y+2)+1/4y=-1/6
-1/12y+2/3=-1/6
simplify both sides of the equation
-1/12y+2/3+-2/3=-1/6+-2/3
add (-2)/3 to both sides
-1/12y=-5/6
-1/12y/-1/12=-5/6/-1/12
divide both sides by (-1)/12
y=10
substitue 10 for y in x=-y+2
x=-y+2
x=-10+2
x=-8
