Nancy started the year with $425 in the bank and is saving $25 each week. Sam started the year with $705 but is spending S15 a week. Write a system of equations that model the following situation.
Define cach variables with a "Let" statement, write two equations, and solve completely.

Nancy started the year with 425 in the bank and is saving 25 each week Sam started the year with 705 but is spending S15 a week Write a system of equations that class=

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Answer:

Step-by-step explanation:

Let x equal number of weeks and y equal money in the bank.

Nancy, y=425+25x

Sam, y=705-15x

The system of equations:

Nancy:   [tex]y=\$425+\$25x[/tex]

Sam :   [tex]y=\$705-\$15x[/tex]

Given:

Amount in Nancy's bank = $425

Amount saved by Nancy each week = $25

Amount in Sam's bank = $705

Amount spend by Sam each week = $15

To find:

The system of equations describing the given models.

Solution

1) Amount in Nancy's bank = $425

Amount saved by Nancy each week = $25

Let the number of weeks Nancy saving her money be 'x'.

Let the total amount of money in Nancy's bank after x weeks be 'y'.

[tex]y=\$425+\$25\times x\\y=\$425+\$25x[/tex]

The equation for Nancy:

[tex]y=\$425+\$25x[/tex]

2)

Amount in Sam's bank = $705

Amount spend by Sam each week = $15

Let the number of weeks Sam spending his money be 'x'

Let the total amount of money left in Sam's bank after x weeks ='y'

[tex]y=\$705-\$15\times x\\y=\$705-\$15x[/tex]

The equation for Sam:

[tex]y=\$705-\$15x[/tex]

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