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

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Question 195611: sketch the following functions
y=3x+2

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Question 195945: Find all the solutions of the following systems of equations if possible. If a system has no solution, explain why it does not.
(a) 3X – Y = 3 (b) 2X – Y = 1 (c) 2X – Y = 1
3X +Y = 15 2Y – 4X = 3 2Y – 4X = (-2)

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Question 196059: I am trying to help my son with Graphing Linear equations. It has been about 20 years since I have done this. Could you explain how to do this one problem to me and so I can help him understand what to do?
y=2x+0
slope=
y-intercept
solution= ( , )

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Question 196173: Certain number of students planed to go for a picnic. Tht total expense was estimated to be Rs.3600-. But 15 students could not go. Each student participated had to pay Rs.8/- more. Then howmany students participated in the picnic
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Question 196421: Need Help In Problems Now! Thank You
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Question 196595: Solve this system using the Substitution Method:
x + y = 7/2
4x - 3y = -14

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Question 196603: Donna invested her $33,000 bonus and received a total of $970.00 in interest after one year. If part of the money returned 4% and the remainder 2.25% then how much did she invest at each rate?
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Question 196630: How can you solve the following system of euqations for x?
2x+y=7
x-y=2

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Question 196746:
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Question 196972: A group of 52 people attended a ball game. There were three times as many children as adults in the group. Set up a system of equations that represents the numbers of adults and children who attended the game ans solve the system to find the number of children who were in the group.
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Question 197117: Solve the following system of equations algebraically:
x^2+y^2=100
y=x-2

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Question 197168: When using the subtitution maethod:
3x+y=7 2x-5y= -1
7-3x=y so, 2x- (7-3x)= -1
now I get lost...
do I... Divide both sides by 2? 2x- (7-3x)= -1 x- (7-3x)= -1/2 ???
Subtract?


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Question 197186: y = 4x-2
y = 5x

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Question 197239: solve by the elimination method
2x+3y=1
4x+6y=2

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Question 191178: who created the concept of using algebraic methods to solve linear systemsby using elimination??
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Question 197355: Solve the system of equations by graphing.
7x-9y=-18
9y-7x=18
Is the system consistent or inconsistent?

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Question 197357: Solve by the substitution method
2x+5y=3
X=9-5y

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Question 197356: Solve the following system of equations.
X+9y=5 (1)
X=4-9y (2)
What is the solution of the system?

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Question 197443: Hi!
I am having trouble putting the following equation into proper form. My assignment was to create two equations that would fit the intergers 4,9. I chose for my first equation: 2x+3y=35. The other equation and the one I am having trouble with is 52=4x-4y. I thought when I put the second equation into the form ax+by=c my answer would be 4x+4y=52. I am wrong. Can you please help me? Thank you in advance. Lynne

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Question 197571: Solve the system.
2x-3y=3
5x+2y=17

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Question 197921: 2x + 3y = 8 and 3x + 2y = 7

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Question 197921: 2x + 3y = 8 and 3x + 2y = 7

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Question 197997: A first number plus twice a second number is 5. Twice the first number plus the second totals 4. Find the numbers.
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Question 198064: In a triangle, the sum of the interior angles is 180 degrees. If angla A is three times as large as angle B, and angles B and C sum to 90 degrees, what is the measure of each angle?
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Question 198080: I really have been confused for a while on this question and can't seem to figure it out.
Find the solution of the system of equations by graphing.
-5x + y = -5
-4x+ 2y = 2
I tried to graph it and I got the point (2,6). I don't know if I did it right or wrong but I need help thank you.

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Question 198080: I really have been confused for a while on this question and can't seem to figure it out.
Find the solution of the system of equations by graphing.
-5x + y = -5
-4x+ 2y = 2
I tried to graph it and I got the point (2,6). I don't know if I did it right or wrong but I need help thank you.

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Question 198092: How do I solve -5/3v+4/3=4/7-5/7 ? And can you explain it? thank you
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Question 198141: 7. Consider again the car described in Exercise 6. On about what percentage of the trips will your gas mileage be above 43 miles per gallon?

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Question 198232: If 5x-6y = -123 and 3x + 13y = -107, what is the value of x and y?
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Question 198241: y=x-7
2y-x=-10
what is the solution to the above system of equations ?
thank you.

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Question 198238: A man goes into a grocery store and buys a grapefruit and a toy ball. A 7% tax is applied to the price of non-food items. If the total bill is $5.15, including $0.18 in tax on the toy ball, what are the prices of the grapefruit and the ball?
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Question 198244: Joe has a collection of nickels and dimes that is worth $5.65. If the number of dimes were doubled and the number of nickels were increased by 8, the value of the coins would be $10.45. How many dimes does he have?
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Question 198243: An express and local train leave GraysLake at 3 P.M. and head for Chicago 50 miles away. The express travels twice as fast as the local and arrives 1 hour ahead of the local. Find the speed of each train.
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Question 198240: On the first day of school, the percentage of boys in a particular class is 60%. During the school year, six girls move away, and are replaced in the class by six boys; this makes the class roster 75% boys. Find the number of boys and girls in the class on the first day of school.
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Question 198271: x+y=7
x-y=1
Solve the system of equations by graphing. Then classify the system.
Use the graphing tool to graph the system. If both equations yield the same line, graph the line twice.

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Question 198271: x+y=7
x-y=1
Solve the system of equations by graphing. Then classify the system.
Use the graphing tool to graph the system. If both equations yield the same line, graph the line twice.

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Question 198292: I need help with this one that is using the substitution method.
7m+n=48
m-6n=13

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Question 198292: I need help with this one that is using the substitution method.
7m+n=48
m-6n=13

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Question 198242: Walt made an extra $9000 last year from a part-time job. He invested part of the money at a 9% annual rate of interest, and the rest at an 8% annual rate of interest. At the end of the year, he made a total of $770 in interest. How much was invested at 8%?
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Question 198335: I need to help using the substitution method for
9x+4y=-32
x=1-5y
any help would be great

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Question 198340: Which one is more linear? 644.2x-1e+06, 1019.7x-2e+06,8454.8x-2e+07 This was done on excel.
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Question 198364: This question has been confusing me and I really need some help. Thank You!
Find the solution of the system of equations by graphing.
y=-x+9
y=4x-1
Thank you again!

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Question 198364: This question has been confusing me and I really need some help. Thank You!
Find the solution of the system of equations by graphing.
y=-x+9
y=4x-1
Thank you again!

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Question 198374: Solve the system of equations by graphing
x-y=2
x+y=6

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Question 198374: Solve the system of equations by graphing
x-y=2
x+y=6

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