Let x and y represent the two numbers. .. x = 6 +12y . . . . . one number is 6 greater than 12 times another .. x + y = 214 . . . . their total is 214
Substitute for x in the second equation using the first equation. .. (6 +12y) +y = 214 .. 13y = 208 . . . . . . . . simplify and subtract 6 .. y = 16 . . . . . . . . . . . divide by 13 .. x = 214 -y = 198
The numbers are 198 and 16.
_____ These are solved easily any of several ways on a graphing calculator. You should learn to use yours for that purpose.
