SOLUTION:
Step 1:
In this question, we are given the following:
Barbara has a bunny that weighs 2 pounds and gains 3 pounds
per year which means:
[tex]2\text{ + 3y }[/tex]Her cat weighs 6 pounds and gains 1 pound per year which means:
[tex]\text{ 6 + y}[/tex]When will the bunny and the cat weigh the same amount means:
[tex]2\text{ + 3y =6 + y}[/tex]collecting like terms, we have that:
[tex]\begin{gathered} 3y\text{ - y = 6 - 2} \\ 2y\text{ = 4} \\ \text{Divide both sides by 2, we have that:} \\ y\text{ = }\frac{4}{2} \\ y\text{ = 2} \end{gathered}[/tex]CONCLUSION:
The bunny and the cat will weigh the same amount in 2 years' time.