The three rectancles shown besides have the same area. What is the value of x +y?
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can they be equal is the answer of this question
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Answer:
x+y = 10
Step-by-step explanation:
(x+ 4) (y-3) = xy
xy-3x +4y -12 = xy
xy-xy+4y -3x = 12
4y - 3x = 12 (1)
(x+8)(y-4) = xy
xy-4x +8y -32 = xy
xy-xy -4x +8y = 32
4(-x +2y) = 32
2y-x = 8
x= 2y-8 (2)
putting x= 2y-8 in equation (1 ) we get
4y - 3(2y-8) = 12
4y - 6y +24 = 12
-2y =12-24
-2y = -12
y = -12/-2
y= 6
by putting y = 6 in equation (2) we get
x= (2×6) -8
x= 12-8
x= 4
so x+y = 6+4 = 10
hope, this will help you
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