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

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).