Question

Nancy started the year with 400$ in the bank and is saving 10$ a week. Shane started with 700$ and is spending 20$ a week. When will they both have the same amount of money in the bank?

Answer 1

They will both have the same amount in the bank after 10 weeks

What are linear equations?

Linear equations are equations that have constant average rates of change, slope or gradient

How to determine the solution to the system?

A system of linear equations is a collection of at least two linear equations.

In this case, we have

Nancy

Initial = 400

Rate = 10

So, the equation is

y = 400 + 10x

700

Initial = 700

Spending = 20

So, the equation is

y = 700 - 20x

When they both have the same amount of money in the bank, we have

700 - 20x = 400 + 10x

Evaluate the like terms

30x = 300

Divide by 30

x = 10

Hence, they will both have the same amount in the bank after 10 weeks

Read more about linear equations at:

https://brainly.com/question/1884491

#SPJ1