the larger of the two numbers is 8 more than twice the smaller. The sum of the numbers is 10 less than three time the larger. Find the numbers

1 answer

smaller ---- x
larger ------y

"the larger of the two numbers is 8 more than twice the smaller" ---> y = 2x+8

" The sum of the numbers is 10 less than three time the larger" ---> x+y = 3y - 10

Notice I literally translate the English into Math

sub the first into the second ...
x + (2x+8) = 3(2x+8) - 10
x + 2x + 8 = 6x + 24 - 10
-3x = 6
x = -2
then y = -4+8 = 4

the smaller is -2 and the larger is 4