find (x+y)÷(x_y)if x=5\2,y=_3/4
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What is the value of x and y if x+y=2 and x-y=5?
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x, y={7/2, -3/2}
PREMISES
x+y=2 and x-y=5
(x+y)+(x-y)=2+5
(x+x)+(y-y)=2+5 (Addition and subtraction are commutative)
2x+0=7
2x=7
2x/2=7/2
x=
7/2 as an improper fraction or 3 1/2 as a mixed number (decimal: 3.5)
and,
if x=7/2, then
y=2-x (from the premises)
y=2–7/2
y=2–3 1/2
y=-[{3 1/2}–2]
y=
-3/2 as an improper fraction or -1 1/2 as a mixed number (decimal: -1.5)
PROOF
If x, y=7/2, -3/2, then the equations
(1) Y=(x+y=2)
Y=(7/2)+(-3/2)=2
Y=4/2=2 and
Y=
2
and,
(2) Y=(x-y=5)
Y=(7/2)-(-3/2)
Y=10/2
Y=
5
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