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
<em><u>Combine like terms.</u></em>
9c = 54
<em><u>Divide both sides by 9.</u></em>
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
<em><u>Subtract 6 from both sides.</u></em>
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.