Question

sendo x/9=y/13 e 2x+5y=249. determine x e y

Answer 1

x/9=y/13 => 13x = 9y

13x = 9y
2x+5y=249

x=9y/13

2*(9y/13)+5y=249
18y/13 + 5y = 249
MMC de 13 e 1 = 13
18y/13 + 65y/13 = 249
83y/13 = 249
83y=249*13
83y=3237
y=3237/83
y=39

x=9y/13
x=9*39/13
x=351/13
x=27