y +5=x 3y=2x solve problem

Question

the larger x of two positive integers is five more than the smaller y. if three times the smaller is the same as two times the larger, find the two integers set with 2 equations an solvw problem

Answer 1

y+5=x            3y=2x

                      3y=2*(y+5)

                      3y=2y+10

                      3y-2y=10

                      y=10

10+5=x

15=x

Answer 2

 X = Y +5

  3Y = 2X

 

    Solve by substitution:

 

      Y = 2/3 X

 

     X = 2/3 X + 5

 

     x/ 3 = 5

 

    X = 15

 

      Y = 10