Question

the weight of abes dog can be found using the expression 2(x+3), where x is the number of weeks. the weight of karens dog can be found using the expression 3(x+1), where x is the number of weeks. will the dogs ever be the same weight?

Answer 1

Explanation:

Answer 2

To find this out we can set the expressions equal to each other:


`\sf 2(x+3)=3(x+1)`

Solve for 'x', first distribute:


`\sf 2x+6=3x+3`

Subtract 3 to both sides:


`\sf 2x+3=3x`

Subtract 2x to both sides:


`\boxed{\sf x=3}`

So the answer is yes, after 3 weeks the dogs will be the same weight(because 'x' represents # of weeks).