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

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Question 123160: Write equation of line in slope intercept form
y intercept=-3 and
x intercept=5

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

Question 123240: Erza and tava sold at least 150 cupon books. Erza sold at most 30 books more than twice the number tava sold. Show and describe all possible combinations of the numbers of cupon books erza and tava sold. List two possible combinations.
Click here to see answer by ontmtnbike(2) About Me 

Question 123287: I have a problem (8th grade) that I can't get started on. "a group of friends

eat at a restaurant and agreed to split the $6.00 bill equally. Two men left without paying and the remaining others were assessed .25 more. How many men in the party originally?"
It seems like a linear equation that has 2 variables. How much did each spend and how many men. I can't put it into equation form.

Click here to see answer by Superownage(7) About Me 
Question 123287: I have a problem (8th grade) that I can't get started on. "a group of friends

eat at a restaurant and agreed to split the $6.00 bill equally. Two men left without paying and the remaining others were assessed .25 more. How many men in the party originally?"
It seems like a linear equation that has 2 variables. How much did each spend and how many men. I can't put it into equation form.

Click here to see answer by stanbon(75887) About Me 
Question 123287: I have a problem (8th grade) that I can't get started on. "a group of friends

eat at a restaurant and agreed to split the $6.00 bill equally. Two men left without paying and the remaining others were assessed .25 more. How many men in the party originally?"
It seems like a linear equation that has 2 variables. How much did each spend and how many men. I can't put it into equation form.

Click here to see answer by scott8148(6628) About Me 
Question 123287: I have a problem (8th grade) that I can't get started on. "a group of friends

eat at a restaurant and agreed to split the $6.00 bill equally. Two men left without paying and the remaining others were assessed .25 more. How many men in the party originally?"
It seems like a linear equation that has 2 variables. How much did each spend and how many men. I can't put it into equation form.

Click here to see answer by checkley71(8403) About Me 

Question 123310: write an equation in standard form with integer coefficients
-4y+6x+7=0

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Question 123319: write the standard form of the equation of the line that passes through the given points.
(2,-5), (8,1)

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Question 123206: I got this question on my reveiw sheet, can anyone herlp me?
Brad sold tickets to a track meet. It cost $6 for an adult ticket and $3 for a student ticket. Let x represent the number of adult tickets sold and let y represent the number of student tickets sold. Find the intercepts. What does each intersept represent?
I guess I need to find the y and x intercepts then tell what the intercepts represent....
HELP!!!!!!!!!!!!!!

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 123342: 4. 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

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Question 123343: Solve each of the following systems by graphing.
1. 2x – y = 4
2x – y = 6

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Question 123346: Solve each of the following systems by graphing.


2. x – 2y = 8
3x – 2y = 12



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Question 123347: Solve each of the following systems by graphing.

3. 3x – 6y = 9
X – 2y = 3




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Question 123348: Solve each of the following systems by addition. If a unique solution does not exist, state whether the system is inconsistent or dependent.

5. 2x + 3y = 1
5x + 3y = 16




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Question 123349: Solve each of the following systems by addition. If a unique solution does not exist, state whether the system is inconsistent or dependent.

6. x + 5y = 10
-2x – 10y = -20







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

Question 123351: 7. 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?

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

Question 123352: 8. 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?

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

Question 123354: Solve each of the following systems by substitution.
9. 5x – 2y = -5
y -5x = 3


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Question 123355: Solve each of the following systems by substitution.


10. 8x – 4y = 16
y = 2x – 4


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Question 123356: Solve each of the following systems by substitution.



11. 4x – 12y = 5
-x + 3y = -1

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Question 123357: 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.
12. 10x + 2y = 7
y = -5x + 3


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Question 123441: Your math teacher tells you that next week's test is worth 100 points and contains 38 problems. Each problem is worth either 5 points or 2 points. Because you are studying for systems of linear equations, your teacher says that for extra credit you can figure out how many problems of each value are on the test. How many of each value are there?
Click here to see answer by jim_thompson5910(35256) About Me 

Question 123454: The directions say Use linear combinations to solve the system of linear equations. I tried to work this problem, but my teacher didn't go over it clearly. The problem is x-y=0 -3x-y=2. I don't know what to multiply so that the x or y value leaves the equation so i can solve it

Click here to see answer by solver91311(24713) About Me 

Question 123558: SUBSTITUTION:
8x=-2y-10
2x=4y

Click here to see answer by chitra(359) About Me 

Question 123629: 13. Social science. In a town election, the winning candidate had 220 more votes than the loser. If 810 votes were cast in all, how many votes did each candidate receive?
Click here to see answer by jim_thompson5910(35256) About Me 

Question 123630: 14. Geometry. The perimeter of an isosceles triangle is 37 in. The lengths of the two
equal legs are 6 in. less than 3 times the length of the base. Find the lengths of the
three sides.

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

Question 123631: Solve each of the following systems of linear inequalities graphically.
15. 3x – y ≤ 6
x ≥ 1
y ≤ 3

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Question 123632: Draw the appropriate graphs in each of the following.
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.

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

Question 123709: I am supposed to solve the following linear system using linear combinations. Please help me to solve this problem. I have done the following work to the problem so far:
5e + 4f = 9 *The two equations on the left are the original linear system.
4e + 5f = 9
20e + 16f = 36
+ (-20e)- 25f = -36
________________
-9f= 0
f=0
5e+4*0= 9
5e+0= 9
e=1.8
However, when I substituted these two solutions to the variables e and f, the second equation-----> 4e + 5f = 9----- was not true. Please help me to achieve the correct answer.
Much appreciated, Megan B.

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

Question 123802:

6x+3y=12 y+2x=-2

Click here to see answer by checkley71(8403) About Me 

Question 123848: from work book; A construction company charges $15 per hour for debris removal, plus a one-time fee for the use of a trash dumpster. The total fee for nine hours of service is $195. Write the point-slope form of an equation to find the total fee y for any number of hours x.
Click here to see answer by solver91311(24713) About Me 

Question 123845: I do not get how to use the substitution method while solving the equation 2x+4y=-6
x-3y=7

Click here to see answer by chitra(359) About Me 

Question 123854: i need help on systems of equations with 3 variables.
2x+y-3z=-12
5x-y+z=11
x+3y-2z=-13
Please and Thank you!

Click here to see answer by johnnico6426(16) About Me 

Question 123961: 2. There were 1500 people at a high school football game. Student tickets were $2.00 and adult tickets were $3.50. The total receipts for the game were $3825. How many students bought tickets?

Let a = the number of adult tickets purchased.
Let s = the number of student tickets purchased.
a. Write a system of equations that can be used to determine the number of adult and student tickets purchased.
b. Determine the number of adults tickets sold and the number of student tickets sold. Use mathematics to explain how you determined your answer.


Click here to see answer by checkley71(8403) About Me 

Question 124011: Do the points in each set lie on the same line? Explain your awnser.

P(4,2),Q(-3,2),R(2,5)

Click here to see answer by checkley71(8403) About Me 

Question 124028: at what point would the lines 5x+y=19 and -x=2y=-6 intersect i tried and i'm not sure if it was (4,-1)
Click here to see answer by checkley71(8403) About Me 

Question 124027:
how many solutions do this linear system have? 2x-6y=-14,-2x+3y=7

Click here to see answer by checkley71(8403) About Me 

Question 124032: at what point do the lines 5x+y=19 and -x+2y=-6 intersect I tried and got the answer (4,-1)
Click here to see answer by checkley71(8403) About Me 

Question 124031: SOLVE BY SUBSTITUTION METHOD AND DETERMINE WHETHER ITS A INDEPENDENT, DEPENDENT, OR INCONSISTENT
x=2y-7
3x+2y=-5

Click here to see answer by solver91311(24713) About Me 

Question 124036: what is the soulution for x in this system of equations x+y=6 and 2x-y=9 i got negative five and wasnt sure it was correct
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 124091: Suppose you have 3 nickels, 2 dimes, and 6 quarters in your pocket. If you draw a coin randomly from your pocket, what is the probability that
a. You will draw a dime?
b. You will draw a half-dollar?
c. You will draw a quarter?


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

Question 124092: what is the solution to y=-2x+4 and y=1x+2
Click here to see answer by chitra(359) About Me 

Question 124311: how do i solve -4x-4y=4
-10x-7y=-2

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

Question 124224: Which is the slope of Ax+By=C?
-B/A C/A -A/B C/B

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 124481: 5x-6y=3
2x=12y=12

Click here to see answer by checkley71(8403) About Me 

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