Questions:
Solving Systems of Linear Equations by Graphing and Substitution / Addition Methods
Solve each system by graphing.
1. y = - 2/3x
2x + 3y = 5
Solve each system by the substitution method. Determine whether the equations are independent, dependent, or inconsistent.
2. x = y + 3
3x - 2y = 4
3. 2x - y = 4
2x - y = 3
4. x + 3y = 2
-x + y = 1
Write a system of two equations in two unknowns for each problem. Solve each system by substitution.
5.Investing 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 remainder 2.25%,then how much did she invest at each rate?
6. 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 adukt tickets as a student tickets were sold,then how many of each were sold?
Solve each system by the addition method
7. x + y = 13
22x + 36y = 356
Solve each system by the addition method. Determine whether the equations are independent, dependent, or inconsistent.
8. -3x + 2y = 8
3x + 2y = 8
Solve each system by the addition method.
9.3/7x + 5/9y = 27
1/9x + 2/7y = 7