hitting the floor
Algebra
Level
pending
y= 3[x]+1 = 2[x-3] +5 find the value of [x+y]. [ ] denotes the floor / greatest integer function.
The answer is -7.
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1 solution
y=3[x]+1
3[x]+1 = 2[x-3] +5
3( x-{x}) -4 = 2( x-3 - { x-3} ) {x} denotes the fractional part of x.
{x-3} = {x}
after simplification
x+2={x} hence -2<=x<-1
[x]=-2 hence y=-5 [x+y] = -7