They will both have the same amount in the bank after 10 weeks
<h3>What are linear equations?</h3>
Linear equations are equations that have constant average rates of change, slope or gradient
<h3>How to determine the solution to the system?</h3>
A system of linear equations is a collection of at least two linear equations.
In this case, we have
<u>Nancy</u>
Initial = 400
Rate = 10
So, the equation is
y = 400 + 10x
<u>700</u>
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:
brainly.com/question/1884491
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