Dora has 10 seashells and plans to add 2 shells every week. jerri has 4 seashells and plans to add 5 shells every week. which system of equations would be used to find out how many weeks would it be before the girls have the same number of seashells.

Let x represents the week and y represents the seashells

As per the statement:

Dora has 10 seashells and plans to add 2 shells every week.

"2 shells every week" means 2x

⇒y = 10 + 2x

It is also given, Jerri has 4 seashells and plans to add 5 shells every week.

"5 shells every week" means 2x

⇒ y = 4 + 5x

The system of equation would be used:

y = 10 + 2x

y = 4 + 5x

Since, the girls have the same number of seashells

⇒

Subtract 4 from both sides we get;

Subtract 2x from both sides we get;

Divide by 3 both sides we have;

x = 2 weeks.

Therefore, the number of weeks would it be before the girls have the same number if seashells is, 2 weeks.