(x+y)/2 - (x-y)/3 = 8
(x+y)/3 + (x-y)/4 = 11
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Answer:
The answer to this question is....
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Answered by
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Answer:
x=18. y=6
Step-by-step explanation:
let x+y=u &x-y=v
(x+y)/2-(x-y)/3=8
u/2-v/3=8.,3u-2v=48(by cross multiplication----1 eq
(x+y)/3+(x-y)/4=11
u/3+v/4=11,4u+3v=132 ----------------------2eq
by elimination method
3u-2v=48]×4
4u+3v=132]×3
+12u-8v=+192
+12u+9v=+396
- - = -
____________
0. -17v= -204
v = -204/-17
v = 12
so,3u-2v =48
3u-2×12=48
3u-24=48
3u =48+24
3u = 72
u =72/3
u=24
now
x+y=u & x-y =v
x+y=24.
x-y= 12
_______
2x=36
x=36/2
x=18
x+y=24
18+y=24
y=24-18
y=6
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