Respuesta :

d = 8c

d + c = 54

We can plug 8c into the value for d in the second equation to find the value of c.

8c + c = 54

Combine like terms.

9c = 54

Divide both sides by 9.

c = 6 (This is how much the cat weighs.)

Now we can plug this value in for c to find the value of d.

d + 6 = 54

Subtract 6 from both sides.

d = 48. (This is how much the dog weighs.)

We can plug these values into both of the original equations to verify.

d = 8c

48 = 8(6)

48 = 48 √ this is correct.

d + c = 54

48 + 6 = 54 √ this is also correct.