Ricardo's cat weighs x pounds.
His dog weighs 6 times as much as his cat, so his dog weighs 6x pounds.
The total weight of the pets is 98 pounds.
[tex]x+6x=98 \\
7x=98 \\
x=\frac{98}{7} \\
x=14 \\ \\
6x=6 \times 14=84[/tex]
Ricardo's dog weighs 84 pounds.