Two Times a number added to another number is 25. three time the first number minus the other number is 20. find the numbers

2x+y=25

3x-y=20

solve by adding these two equations together

2x+3x=5x

y-y=0

25+20=45

you get left with

5x=45

divide both sides by 5

x=9

then plug x=9 into one of the 1st equations to solve for y

2 (9) + y=25

18+y=25

subtract

y=7

so your numbers are 9 and 7

Equation 1: 2x + y = 25

-Subtract 'y' (or 1) to both sides

2x + 1 - 1 = 25 - 1

2x = 24

-Divide '2' to both sides

2x/2 = 24/2

x = 12 (I think)

Equation 2: 3y - x = 20

-Add 'x' (or 1) to both sides

3y - 1 + 1 = 20 + 1

3y = 21

-Divide '3' to both sides

3y/3 = 21/3

y = 7