Answered

Suriin ang IDNStudy.com at makakuha ng mga sagot sa iyong mga tanong sa iba't ibang paksa. Magtanong at makatanggap ng eksaktong sagot mula sa aming mga bihasang miyembro ng komunidad.

Math

A positive integer and a negative integer are 18 units apart.
the absolute value of the positive integer is 5 times the absolute value of the negative integer.
what are the two numbers?

Sagot :

Shinalcantaraidn
let 'x' be the negative integer
let 'y' be the positive integer
--------
since we are talking about the distance of the two numbers in the number line then we take the absolute values of the two
-------------
since they are 18 units apart then,
|x|+|y| = 18 -------equation 1
the absolute value of the positive integer is 5 times the absolute value of the negative integer
|y| = 5|x| ------equation 2
----------
since we've already assigned signs to the variables, then we may take equations 1&2 in its positive sense
x+y =18 -----equation 1'
y =5x ------equation 2'
---------
substitute equation 2' to equation 1'
x+y =18
x+(5x) = 18
6x = 18
divide the whole equation with 6
x = 3
----------
substitute x=3 to equation 2'
y = 5x
y = 5 (3)
y = 15
----------
Since we assign 'x' as negative and 'y' as positive then
x=-3
y=15
the two numbers are -3 & 15