Problema Solution

The sum of a number and 2 is 6 less than twice that number

Answer provided by our tutors

x + y = 2x - 6

x - 2x + y = -6

-x + y = -6

:

"Their difference is 10 less than four times the second number."

x - y = 4y - 10

x - y - 4y = -10

x - 5y = -10

:

Add the two equations

-x + y = -6

+x -5y = -10


-4y = -16

y = 

y = +4

:

Find x using the 1st equation -x + y = -6

-x + 4 = -6

-x = -6 - 4

-x = -10

x = +10