(See attached file for full problem description)
Solve each of the following systems by graphing each of the following.
10. 2x - y = 4
2x - y = 6
12. x-2y = 8
3x - 2y = 12
20. 3x - 6y = 9
X - 2y = 3
26. Find values for m and b in the following system so that the solution to the system is ( -3 , 4 )
5x + 7y = b
Mx + y = 22
Solve each of the following systems by addition. If a unique solution does not exist, state
whether the system is inconsistent or dependent.
12. 2x + 3y=1
5x + 3y = 16
20. x + 5y = 10
-2x - 10y = -20
56. Solve each of the following problems. Be sure to show the equations used for the solution.
Number problems. Jill has $3.50 in nickels and dimes. If she has 50 coins, how
many of each type of coin does she have?
60. Business and finance. A coffee merchant has coffee beans that sell for $9 per
pound and $12 per pound. The two types are to be mixed to create 100 lb of a mixture
that will sell for $11.25 per pound. How much of each type of bean should be
used in the mixture?
Solve each of the following systems by substitution
16. 5x - 2y = -5
Y - 5x = 3
20. 8x - 4y = 16
Y= 2x - 4
28. 4x - 12y = 5
-x + 3y = -1
Solve each of the following systems by using either addition or substitution. If a unique solution
does not exist, state whether the system is dependent or inconsistent.
38. 10x + 2y = 7
Y= -5x + 3
Solve each of the following problems. Be sure to show the equation used for the solution.
56. Business and finance. A washer-dryer combination costs $1200. If the washer
costs $220 more than the dryer, what does each appliance cost separately?
Solve each of the following systems of linear inequalities graphically.
20. A small firm produces both AM and AM/FM car radios. The AM radios take 15 h
to produce, and the AM/FM radios take 20 h. The number of production hours is
limited to 300 h per week. The plant's capacity is limited to a total of 18 radios per
week, and existing orders require that at least 4 AM radios and at least 3 AM/FM
radios be produced per week. Write a system of inequalities representing this situation.
Then, draw a graph of the feasible region given these conditions, in which x
is the number of AM radios and y the number of AM/FM radios.
This provides several examples of solving systems of equations, including word problems.