let x = the number of dimes let y = the number of nickels
so our first equation would be x+y = 16
Since dimes are 10 cents and nickels are 5 cents the next equation would be as follows:
.10x+.05y = 1.35
now change the first equation so y = -x+16 now substitute:
.10x+.05(-x+16) = 1.35 then multiply so you get .10x+-.05x+0.8=1.35
combine like terms and you get .05x+0.8 = 1.35 then subtract 0.8 from both sides and you get .05x = 0.55 then subtract and you get x = 11 then substitute 11 for where x should be and you should get y = 5