Questions on Algebra: Systems of Linear Equations answered by real tutors!

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Question 947335: In 2005 the international price of gold was $432 per ounce and the international price of silver was $7.35 per ounce. Supposed gold and silver were mixed to obtain 15 ounces of an alloy worth $177.21 per ounce? How much of each was used in the alloy?

Can you solve using systems with 2 variables? Thank you!

Click here to see answer by josgarithmetic(39618) About Me 

Question 947404:
There are at most 12 bicycles and tricycles in a school playground. There are at least 17 wheels altogether. Let b equal the number of bicycles and t equal the number of tricycles. Which system describes this situation?




b + t <= 12 2b + 3t >=17

b + t <=12 2b + 3t <= 17

b + t <= 12 2b + 3t > 17

b + t < 12 2b + 3t >=17

Click here to see answer by addingup(3677) About Me 
Question 947404:
There are at most 12 bicycles and tricycles in a school playground. There are at least 17 wheels altogether. Let b equal the number of bicycles and t equal the number of tricycles. Which system describes this situation?




b + t <= 12 2b + 3t >=17

b + t <=12 2b + 3t <= 17

b + t <= 12 2b + 3t > 17

b + t < 12 2b + 3t >=17

Click here to see answer by stanbon(75887) About Me 

Question 947399: Solve the system of equations using substitution.
y = 2x + 9
y = 3x + 10

Click here to see answer by Zucchini(70) About Me 

Question 947320: Find the values of the following function. Be sure to check second order conditions.
Z=-200+4x-11y-2x^2+y^2-xy+2x^3

Click here to see answer by Alan3354(69443) About Me 

Question 947422: a salmon swims 100 m in 8min downstream upstream it would take the fish 20 min. what is the rate of the current and the speed of the fish.
Click here to see answer by josmiceli(19441) About Me 

Question 947483: substition to solve system: y=2x-7= what is x and -5x+4y=-13 what is y
Click here to see answer by jim_thompson5910(35256) About Me 

Question 947532: (x-3y+z)(5x+5y+z)
Click here to see answer by Alan3354(69443) About Me 

Question 947694: Solve the system of THREE Equations
4x+y+2z = 10
y = x-1
x=5
Thanks

Click here to see answer by Alan3354(69443) About Me 

Question 947788: Jamie wants to start a landscaping business. He buys $750 worth of equipment. Expenses for labor and gas are $12. He charges $50 per lawn. How many lawns does he have to landscape to break even? Write and solve a system of linear equations.
Click here to see answer by josmiceli(19441) About Me 

Question 947811: Is (-2, 3) a solution of the system? Explain why or why not in a complete sentence.

y = 2x + 7
x = y - 4

Click here to see answer by jim_thompson5910(35256) About Me 

Question 947822: Which graph represents the following system of equations?
y = 2x + 3
y = –x – 1

Click here to see answer by Fombitz(32388) About Me 

Question 947931: Is (-2, 3) a solution of the system? Explain why or why not in a complete sentence.

x + y = 1
x = -2

Click here to see answer by Fombitz(32388) About Me 

Question 947933: Solve the system using substitution.

y = 2x + 11
y + x = 5

Click here to see answer by etutorworld(19) About Me 

Question 947943:
Suppose you spend $500.00 on an oven to bake bread. Each loaf of bread costs you $.20 to bake. You sell the loaves for $1.00 each. How many loaves of bread must you sell to break even?

620 loaves
630 loaves
625 loaves
615 loaves

Click here to see answer by macston(5194) About Me 

Question 947958: Tickets to a school play either cost $2 or $3, depending on the age of the buyer. The total amount of money brought in was at most $282.

Write a linear inequality that describes the situation.

2x + 3y > 282

2x + 3y >= 282
2x + 3y < 282

2x + 3y <=282

Click here to see answer by stanbon(75887) About Me 

Question 947953: The following graph shows the solution to the system.
y = x + 2
y = 3x – 2

Click here to see answer by Fombitz(32388) About Me 

Question 947945: Write a system of equations to model the situation.

An amusement park charges admission plus a fee for each ride. Admission plus two rides costs $10. Admission plus five rides cost $16.

a + r = 10 and a + r = 16
2a + 2r = 10 and 2a + 5r = 16
a + 2r = 10 and a + 5r = 16
2a + 2r = 10 and 5a + 5r = 16

Click here to see answer by Fombitz(32388) About Me 

Question 947942:
Use a system of equations to model the situation and then solve by any method.

An orchestra consists of string instruments and wind instruments in a ratio of 9 to 4. There are 91 string and wind instruments in the orchestra. How many string instruments are there? How many wind instruments?

63 string instruments 28 wind instruments
65 string instruments 26 wind instruments
60 string instruments 31 wind instruments
72 string instruments 19 wind instruments

Click here to see answer by MathLover1(20850) About Me 
Question 947942:
Use a system of equations to model the situation and then solve by any method.

An orchestra consists of string instruments and wind instruments in a ratio of 9 to 4. There are 91 string and wind instruments in the orchestra. How many string instruments are there? How many wind instruments?

63 string instruments 28 wind instruments
65 string instruments 26 wind instruments
60 string instruments 31 wind instruments
72 string instruments 19 wind instruments

Click here to see answer by MathTherapy(10552) About Me 

Question 948111: Let x be odd.
Find the prouduct of x and the next odd integer.

Click here to see answer by jim_thompson5910(35256) About Me 
Question 948111: Let x be odd.
Find the prouduct of x and the next odd integer.

Click here to see answer by Alan3354(69443) About Me 

Question 948222: Two fishermen go ice fishing one morning. By noon, fisherman Dan has 6 fish and is catching 2 fish per hour. Fisherman Fred has 4 fish and is catching 3 per hour. Assume they will continue catching fish at the same rate.

A. Write a system of equations that relates the time to the total fish caught.

B. Solve your system using either substitution or elimination. Make sure to show all of your work for full credit.

C. Based upon your work in Part B, at what time will Fred and Dan have the same number of fish, and how many fish will they each have?

Click here to see answer by stanbon(75887) About Me 

Question 948229: At the fair, you buy 3 sausage sandwiches and a milkshake and it costs you $8.25. Your friend buys 1 sausage sandwich and 2 milkshakes and her total is $5.25. What is the cost of one sandwich and one milkshake?

A. Write a system of equations for this situation.

B. Solve your system using either elimination or substitution. Make sure to show your work for full credit.

Click here to see answer by amarjeeth123(569) About Me 

Question 948226: A family goes to a school play. Two adult tickets and 1 student ticket costs $8.75. Another family needs 1 adult ticket and 4 student tickets. Their total cost was $10.50. Find the price of each ticket.

A. Write a system of equations for this situation.

B. Solve your system using substitution or elimination. Make sure to show all your work for full credit.

Click here to see answer by stanbon(75887) About Me 

Question 948225: At the fair, you buy 3 sausage sandwiches and a milkshake and it costs you $8.25. Your friend buys 1 sausage sandwich and 2 milkshakes and her total is $5.25. What is the cost of one sandwich and one milkshake?

A. Write a system of equations for this situation.

B. Solve your system using either elimination or substitution. Make sure to show your work for full credit.

Click here to see answer by Fombitz(32388) About Me 

Question 948289: THE DIFFERENCE QUOTEINT f(X)= 4-5X
Click here to see answer by Fombitz(32388) About Me 

Question 948297: it takes 30 minutes to fill a water tank, when no one is using water. when people use water or filled tank is emptied in 4 hrours. how log does it take to fill the tank while the water is being used?
Click here to see answer by josgarithmetic(39618) About Me 

Question 948323: a. Lily and Rosie are sisters. The sum of their ages is 19 and the positive difference of their age is 9. Set up a system of equations involving Lily's age, L, and Rosie's age, R, assuming Lily is the older child.
b. Solve the system to find their ages.

Click here to see answer by Fombitz(32388) About Me 

Question 948328: PhotoLab charges $9.00 for processing a 24-exposure roll of film and $12.00 for processing a 36-exposure roll. After their class trip, Mr. Renkens' 8th grade class sent 22 rolls of film to be developed and paid $219 for processing.

A. Write a system of equations to describe the situation.

B. Find the number of rolls of 24-exposure and the number of 36-exposure film that were processed using either elimination or substitution. Make sure to show your work for full credit.

Click here to see answer by macston(5194) About Me 

Question 948335: Solve the following system of equations using any algebraic method
y=-3x+5
2x+y=6

Click here to see answer by macston(5194) About Me 

Question 948336: Solve the following system of equations using any algebraic method-
2x 3y=17
5x 6y=32

Click here to see answer by macston(5194) About Me 
Question 948336: Solve the following system of equations using any algebraic method-
2x 3y=17
5x 6y=32

Click here to see answer by raphaelfundani(3) About Me 

Question 948381: Company A Spent a total of $11 million on advertising in fiscal year 2010, 2011, and 2012. The amount spent in 2012 was three times the amount spent in 2010. The amount spent in 2011 was $3 million less than the amount spent in 2012. How much was spent on advertising each year.
My attempt to set-up the system:
x + y + z = 11
y - z = 3
z = 3x

Click here to see answer by MathLover1(20850) About Me 

Question 948435: Without graphing, tell whether the system has one solution, no solution, or an infinite number of solutions.

Make sure to explain how you know your answer is correct in order to receive full credit.

y = x + 3
y = -2x + 3

Click here to see answer by josgarithmetic(39618) About Me 

Question 948434: Based on the following inequality, describe what type of boundary line your graph would have and whether you would shade above or below.

1/3x - y >= 1

Click here to see answer by josgarithmetic(39618) About Me 
Question 948434: Based on the following inequality, describe what type of boundary line your graph would have and whether you would shade above or below.

1/3x - y >= 1

Click here to see answer by MathTherapy(10552) About Me 

Question 948488: School sweatshirts cost $8 or $12 depending on the size (youth or adult). The total amount of money brought in at a Friday morning spirit sale was at most $216.00.

Write a linear inequality to describe this situation

Click here to see answer by stanbon(75887) About Me 

Question 948436: Is (-2,3) a solution of the system? Make sure to state yes or no and show your work to justify your answer.

x + y = 1
x = -2

Click here to see answer by Zucchini(70) About Me 

Question 948531: How do I solve this problem using interval notation?
A ={Z|Z≥ 1}
B={Z|Z<8}

Click here to see answer by MathLover1(20850) About Me 

Question 948433:
Determine whether the given point is a solution of the inequality. Make sure to state yes or no and show your work to justify your answer.

(1, 0)

y < 7/8x - 3

Click here to see answer by Zucchini(70) About Me 

Question 948941: the price of a coffe and pastry is $7.75. the coffee cost $0.75 more than the pastry. what are the individual cost of one coffe and one pastry?
Click here to see answer by macston(5194) About Me 

Question 948910: y=16 m=_______ b=_____
find y if x is 5
find y if x is -10

Click here to see answer by Fombitz(32388) About Me 

Question 949341: (Please help I'm so Confused!!!) What is meant by a dependent system of linear equations and how does this differ from an independent system or an inconsistent system?
Click here to see answer by Zucchini(70) About Me 
Question 949341: (Please help I'm so Confused!!!) What is meant by a dependent system of linear equations and how does this differ from an independent system or an inconsistent system?
Click here to see answer by macston(5194) About Me 

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