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

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Question 1152561: A textbook store sold a combined total of 327 chemistry and physics textbooks in a week. The number of physics textbooks sold was 77 less than the number of chemistry textbooks sold. How many textbooks of each type were sold?
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Question 1152562: The sum of two numbers is 60. One number is 4 times as large as the other. What are the numbers?
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Question 1152562: The sum of two numbers is 60. One number is 4 times as large as the other. What are the numbers?
Click here to see answer by Cromlix(4381) About Me 

Question 1152569: Use substitution to solve the system

x- 3y = 7
3x + 4y = 8

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Question 1152629: Danny and Mary want to go to a concert next weekend. The tickets will cost a total of $70. After Mary gives Danny all the money she has in her wallet, Danny must come up with $5 less than twice Mary’s contribution to pay for the tickets. How much will each contribute for the tickets?
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Question 1152721: Jill has a collection of bugs. Her collection contains butterflies and tarantulas. She has 47 bugs and counts 320 total legs. How many butterflies and how many tarantulas does she have in her collection?
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Question 1152721: Jill has a collection of bugs. Her collection contains butterflies and tarantulas. She has 47 bugs and counts 320 total legs. How many butterflies and how many tarantulas does she have in her collection?
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Question 1152720: a soccer match was held between peru and bolivia with 38,000 in attendance. Adult tickets sold for $8 and children's tickets sold for $5. Total sales were $257,125. How many of each type of ticket was sold?

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Question 1152784: Roger has 27 standard U.S. coins worth a total of $3.65. No coin is worth more than 30¢ or less
than 3¢. How many dimes could Roger have? (NOTE: There are several possible answers, but
you only need to give TWO correct answers.)

Click here to see answer by josgarithmetic(39617) About Me 
Question 1152784: Roger has 27 standard U.S. coins worth a total of $3.65. No coin is worth more than 30¢ or less
than 3¢. How many dimes could Roger have? (NOTE: There are several possible answers, but
you only need to give TWO correct answers.)

Click here to see answer by jim_thompson5910(35256) About Me 
Question 1152784: Roger has 27 standard U.S. coins worth a total of $3.65. No coin is worth more than 30¢ or less
than 3¢. How many dimes could Roger have? (NOTE: There are several possible answers, but
you only need to give TWO correct answers.)

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

Question 1152812: y=-2x+6
3y-x+3=0

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Question 1153097: Tickets to the softball game are $4 for students and $7 for adults. If $795 was made at the last game and 165 people attended, how many students were at the game?

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Question 1153199: Is there a section for tips for linear systems with 3 variables? I found the solver for 2 variables and 2 equations but I could not find one for 3 variables and 3 equations
z=t - Solve systems using elimination
2x+y-3z=1
x-2y-z=3
x+8y-3z=-7
How would the answer be different t=z? What does t mean/represent? Thanks

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

Question 1153592: Four times the ones digit of a positive, two digit integer is 25 greater than the sum of the digits. Reversing the digits increases the number by 63. What is the number?
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Question 1153592: Four times the ones digit of a positive, two digit integer is 25 greater than the sum of the digits. Reversing the digits increases the number by 63. What is the number?
Click here to see answer by greenestamps(13200) About Me 

Question 1153846: Write a system of two equations in two variables to solve the problem.
On a mother's 23-mile commute to work, she drops her daughter off at a child care center. The first part of the trip is 5 miles less than the second part. How long is each part of her morning commute?
first part
mi
second part
m

Click here to see answer by MathLover1(20850) About Me 
Question 1153846: Write a system of two equations in two variables to solve the problem.
On a mother's 23-mile commute to work, she drops her daughter off at a child care center. The first part of the trip is 5 miles less than the second part. How long is each part of her morning commute?
first part
mi
second part
m

Click here to see answer by ikleyn(52786) About Me 

Question 1154014: How many gallons of 20% alcohol solution and 45% alcohol solution must be mixed to get 10 gallons of 25% alcohol solution?
Click here to see answer by josmiceli(19441) About Me 
Question 1154014: How many gallons of 20% alcohol solution and 45% alcohol solution must be mixed to get 10 gallons of 25% alcohol solution?
Click here to see answer by MathTherapy(10552) About Me 
Question 1154014: How many gallons of 20% alcohol solution and 45% alcohol solution must be mixed to get 10 gallons of 25% alcohol solution?
Click here to see answer by greenestamps(13200) About Me 

Question 1154015: It takes a boat 2 hours to travel 28 miles downstream and 4 hours to travel 24 miles upstream.
What is the speed of the boat in still water?
The boat travels at_____ miles per hour in still water.
What is the speed of the current of the river?
The speed of the current is ____miles per hour.

Click here to see answer by josmiceli(19441) About Me 
Question 1154015: It takes a boat 2 hours to travel 28 miles downstream and 4 hours to travel 24 miles upstream.
What is the speed of the boat in still water?
The boat travels at_____ miles per hour in still water.
What is the speed of the current of the river?
The speed of the current is ____miles per hour.

Click here to see answer by MathTherapy(10552) About Me 
Question 1154015: It takes a boat 2 hours to travel 28 miles downstream and 4 hours to travel 24 miles upstream.
What is the speed of the boat in still water?
The boat travels at_____ miles per hour in still water.
What is the speed of the current of the river?
The speed of the current is ____miles per hour.

Click here to see answer by greenestamps(13200) About Me 

Question 1154013: Mr. Jones has $16,000 to invest. He invests part at 9% and the rest at 10%. If he earns $1,510 in interest after 1 year, how much did he invest at each rate?
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Question 1154013: Mr. Jones has $16,000 to invest. He invests part at 9% and the rest at 10%. If he earns $1,510 in interest after 1 year, how much did he invest at each rate?
Click here to see answer by ramkikk66(644) About Me 

Question 1154011: The sum of three numbers is 17. Two times the smallest is 4 less than the largest, while the sum of the largest and smallest is 10. Use a linear system in three variables to find the three numbers.
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Question 1154012: 450 tickets were sold for a game for a total of $562.50. If adult tickets sold for $1.50 and children's tickets sold for $1.00, how many of each kind of ticket were sold?
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Question 1154010: The larger of two numbers is 1 more than 3 times the smaller. If the smaller is subtracted from the larger, the result is 13. Find the two numbers.
Click here to see answer by Cromlix(4381) About Me 
Question 1154010: The larger of two numbers is 1 more than 3 times the smaller. If the smaller is subtracted from the larger, the result is 13. Find the two numbers.
Click here to see answer by MathTherapy(10552) About Me 

Question 1154009: The difference of two numbers is 4. Two times the smaller is 10 more than the larger. Find the two numbers.
Click here to see answer by Cromlix(4381) About Me 

Question 1154035: 1.) 2x + y = 3
2.) x - 2y = -1
If equation 1 is multiplied by 2 and then the equations are added, the result is
3x = 5
5x = 5
3x = 2

Click here to see answer by josgarithmetic(39617) About Me 

Question 1154034: Solve the system by the elimination method.
2x + y - 4 = 0
2x - y - 4 = 0
When you eliminate y, what is the resulting equation?
4x = -8
x = 0
4x = 8

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Question 1154168: y=2x+1
y=-4x+7

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Question 1154168: y=2x+1
y=-4x+7

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Question 1154176: x-y=0
x+y=16

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Question 1154176: x-y=0
x+y=16

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Question 1154241: Slope 1/6, passes through (18, 2)
write the equation in slope-intercept form

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Question 1154241: Slope 1/6, passes through (18, 2)
write the equation in slope-intercept form

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Question 1154251: Ramasamy wants to buy pens,pencils and notebooks for the new school term.He has 102$ to spend.The price of a pens is 5$,a pencils is 3$,and a notebook 9$.Ramasamy intends to spend the same amount of money on pens and pencils.The total of number of pens and pencils to be purchased must be equal to the number of notebooks to be purchased.How many of each item will be purchased?Write a system of equations to solve this problem.
Click here to see answer by josgarithmetic(39617) About Me 
Question 1154251: Ramasamy wants to buy pens,pencils and notebooks for the new school term.He has 102$ to spend.The price of a pens is 5$,a pencils is 3$,and a notebook 9$.Ramasamy intends to spend the same amount of money on pens and pencils.The total of number of pens and pencils to be purchased must be equal to the number of notebooks to be purchased.How many of each item will be purchased?Write a system of equations to solve this problem.
Click here to see answer by greenestamps(13200) About Me 

Question 1154290: A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 5 large boxes and 3 small boxes has a total weight of 95 kilograms. A delivery of 2 large boxes and 6 small boxes has a total weight of 68 kilograms. How much does each type of box weigh?
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Question 1154291: A motorboat travels 156 kilometers in 6 hours going upstream. It travels 252 kilometers going downstream in the same amount of time. What is the rate of the boat in still water and what is the rate of the current?
Click here to see answer by greenestamps(13200) About Me 
Question 1154291: A motorboat travels 156 kilometers in 6 hours going upstream. It travels 252 kilometers going downstream in the same amount of time. What is the rate of the boat in still water and what is the rate of the current?
Click here to see answer by josgarithmetic(39617) About Me 

Question 1154297: One month Reuben rented 4 movies and 8 video games for a total of $61. The next month he rented 2 movies and 3 video games for a total of $25. Find the rental cost for each movie and each video game.
Click here to see answer by josgarithmetic(39617) About Me 

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