Question

The difference of two positive numbers is 8. The larger is twice the smaller decreased by 3. Find the two numbers.
@eashy

Answer 1

let x be the larger number, y be the smaller number
x-y=8
x=2y-3

Answer 2

use the substitution method to find x and y

Answer 3

2y-3-y=8

Answer 4

looks good :)
now add 3 to both sides so that the y's are on the left and the numbers on the right

Answer 5

2y-y=11

Answer 6

now simply the left side to find y
then substitute the value you found for y into x=2y-3 to get x

Answer 7

y=11! lol
x=2(11)-3
x=22-3
x=19!

Answer 8

excellent. the numbers are 11 and 19

Answer 9

Thanks!