I suppose it is "x and y are integers" not "a and "y".srcc25anu wrote:if a and y are integers and 2x-y = 11, then 4x+y cannot be:
a. -5
b. 1
c. 13
d. 17
e. 55
Given that 2x-y=11
=> 2x= 11+y
=> 4x = 22 + 2y
then, 4x+y = 22 + 2y +y = 22 + 3y
Now if we try plugging in
for option (a) 22 + 3y = -5 , this leads to y = -9 ( an integer )
for option (b) 22 + 3y = 1 , this leads to y = -7 ( an integer )
for option (c) 22 + 3y = 13 , this leads to y = -3 ( an integer )
for option (d) 22 + 3y = 17 , this leads to y = -5/3 ( not an integer )
for option (e) 22 + 3y = 55 , this leads to y = 11 ( an integer )
Hence , we can mark "D" as answer.
