Algebra

Write a system of equations to match each of these problems. Then solve the equations using the method... Substitution, or linear combinations.

1. Maria started her savings account with $105. She adds $10 to it each month, including the first month. Jana Rae started her account with $0. She adds $25 to it each month. After how many months will the girls have the same amound in their accounts? How much will they have?

2. The video store has a basic charge for a 3-day rental and a different per-day late fee. Nate was one day late and paid $5.50 in all for his video. Gina was four days late and paid $10.00 in all for her video. What is the Basic Fee and the Per-Day Late Fee that the store charges?

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  1. just write each sentence in symbols, then solve the equations.

    #1
    Maria has 105+10m
    Jana has 0 + 25m
    So, we want

    105+10m = 0 + 25m
    Now just solve for m and then the amounts

    #2
    There's a rental rate of r, and a late fee of f, so
    Nate: r + 1f = 5.50
    Gina: r + 4f = 10.00
    Now just solve for r and f

    Now just

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