The sum of the digits of a two digit number is 14. the difference between the tens digit and the units digit is 2.
if x is the tens digit and y is the ones digit, which system of equations represents the word problem?
xy= 14 and x - y= 2
x + y = 14 and x - y= 2
x + y = 14 and y - x= 2

see explanation

Step-by-step explanation:

Sum of the 2 digits x and y is 14, thus

x + y = 14

The difference between the tens digit x and the ones digit y is 2, thus

x - y = 2

The system of equations representing the problem is

x + y = 14 → (1)

x - y = 2 → (2)

Add the2 equations term by term to eliminate y

2x = 16 ( divide both sides by 2 )

x = 8

Substitute x = 8 into (1)

8 + y = 14 ( subtract 8 from both sides )

y = 6

The 2 digit number is 86

step-by-step explanation:

points a and b are equidistant from the desired line, so the line you find by using them will go through point r.

using points other than a and b will give the desired line only if they are equidistant from r. if they are randomly located, the perpendicular line you create will not necessarily go through point r, hence will not be a solution to the problem.