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Algebra - Solving Systems of Linear Equations and Word Probl

1.) Solving Systems by Graphing and Substitution

Investing her bonus. Donna invested her $33,000 bonus
and received a total of $970 in interest after one year. If
part of the money returned 4% and the remainder 2.25%,
then how much did she invest at each rate?

2.) Ticket sales. Tickets for a concert were sold to adults for
$3 and to students for $2. If the total receipts were $824
and twice as many adult tickets as student tickets were
sold, then how many of each were sold?

3.) Solve each system by the addition method. Determine whether
the equations are independent, dependent, or inconsistent.

x - y = 3
-6x + 6y = 17

4.) Solve each system by the addition method.

3x - 2.5y = 7.125
2.5x - 3y = 7.3125

5.) Super Bowl contender. The probability that San Francisco
plays in the next Super Bowl is nine times the probability
that they do not play in the next Super Bowl. The probability
that San Francisco plays in the next Super Bowl plus the
probability that they do not play is 1. What is the probability
that San Francisco plays in the next Super Bowl?

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Complete, Neat and Step-by-step Solutions are provided in the attached file.

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