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

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Question 162607: Your teacher is giving you a test worth 100 points containing 40 questions on the test. There are 2point and 4 point questions. How many of each are there?
Click here to see answer by jojo14344(1512)

Question 162651: Solve by graphing
2x+y=2
-x+y=5
Can you show me, step by step, how this works?
Click here to see answer by SAT Math Tutor(36)

Question 162853: if a company plans to lay off 10% of its employees in its aerospace division and 15% of its employees in its agricultural divsion. If altogether 12% of the 3000 employees in these two division will be laid off, then how many employees are in each divsion.
Heres what I've tried: .10 (x) + .15(x) +.12 = 3000
300 450
.12x = 3000
____ ____
.12 .12
Click here to see answer by jim_thompson5910(28715)

Question 162870: please help me solve this equation(4r-2)-(3r=1)
Click here to see answer by checkley77(12569)

Question 162877: if the second digit of a 2 digit no 3 times of first digit and there position is changed and added to original no the answer is 88 wht are digits?
Click here to see answer by ankor@dixie-net.com(15746)

Question 162958: a local library bought 54 books. some cost $32 each and some cost $44 each. the total cost of the books was $1968. How many of the 32 dollar books were purchased?
Click here to see answer by jim_thompson5910(28715)

Question 162964: If the graphs of two linear equations in a system have different slopes, the system ________ has exactly one solution.
Complete with never, sometimes or always.

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Question 162924: y=-2x+6
y=3x+6
Click here to see answer by elima(1433)

Question 162975: ) Demonstrate by determining the intercepts of "14x + 7y = 21". Non graphing
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Question 162925: (2x-5)+(x+25)+x
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Question 155720: 2x+3(x-5)=15
Click here to see answer by consc198(59)

Question 163114: The second digit of a two digit no is 3 time of first digit. If the position of the digit is interchanged and added to original no the new no is 88. find the digits using only one variables.
Click here to see answer by Fombitz(13828)

Question 163229: Eighteen-carat gold contains 18 parts by mass of gold to 6 parts of other metals. Fourteen-carat gold contains 14 parts gold to 10 parts of other metals. How amny kilograms of eighteen-carat gold should be mixed with fourteen-carat gold to obtain 60 kg of an alloy containing 17 parts gold and 7 parts of other metals?
Click here to see answer by ankor@dixie-net.com(15746)

Question 163264: 3(x + 6)=5(x-4)
Click here to see answer by joecbaseball(37)

Question 163185: What are the x-intercept and y-intercept of a linear equation? What are their coordinates on a graph? How can they be used to graph a line?

Click here to see answer by checkley77(12569)

Question 163240: Solve using Cramer's Rule Solve for x and y:
x + 2y = 5
x - y = 3

Click here to see answer by nabla(475)

Question 163308: Find f(1) for f(x)= 4x^3-3x^2-x +2
Click here to see answer by Fombitz(13828)

Question 163302: Please help
Solve for x and y
4x-7y=8
3x-8y=5
I tried doing the elimination method by multiplying the top equation by -3 and the bottom by 4 so I could eliminate the x part but then I got stuck.
Click here to see answer by elima(1433)

Question 163312: Solve by the elimination method.
0.3x - 0.2y = 4
0.5x + 0.3y = 1
What is the solution of the system?
(Type and ordered pair.)
(Type an integer or a fraction. Type N if there is no solution. Type I if there are infinitely many solutions.)
Click here to see answer by checkley77(12569)

Question 163527: Hi i will like the process to solve this equiation for make the graphic x,y
y=5/2x+1 and 2x-3y=-9 thanks
Click here to see answer by vleith(2825)

Question 163733: 2x-y-11
2x=3y=7
This equation has brackets on the left encompassing both problems. Not sure how to even attempt or explain this to my daughter. Can you help?
Click here to see answer by checkley77(12569)

Question 163957: -4=2+2a
Click here to see answer by elima(1433)

Question 164090: Solve each of the following systems by substitution:
5x - 6y = 21
x - 2y = 5
Click here to see answer by jim_thompson5910(28715)

Question 164128: Billy is twice as old as his son. In 10 years, the ratio of their age will be 3:5. find their age.
Click here to see answer by checkley77(12569)

Question 164195: Solve by Elimination or substitution Method

3x - 2y = 8
-12x + 8y = 32

Click here to see answer by oscargut(900)

Question 164098: Determine whether the equation is a conditional or an identity:
5(x-1)=6x-x-5
My textbook does not give an example of this lengthy equation
Click here to see answer by jojo14344(1512)

Question 164199: . Solve by substitution or elimination method:
-4x + 3y = 5
12x - 9y = -15

Click here to see answer by Fombitz(13828)

Question 164198: . Solve by substitution or elimination method:
7x - 5y = 14
-4x + y = 27

Click here to see answer by Fombitz(13828)

Question 164227: Do all graphs of linear equations have y-intercepts? Why or why not?
Click here to see answer by jim_thompson5910(28715)

Question 164243: Explain the differences among a consistent system, an inconsistent system, and a dependent system.
Click here to see answer by padmameesala(42)

Question 164346: I want to solve the problem:
The sum of the real numbers {x} and {y} is {11}. Their difference is {5}. What is the value of {xy}?: The sum of the real numbers {x} and {y} is {11}. Their difference is {5}. What is the value of {xy}?
I found the answer:
8+3=11
8-3=5
x=8
y=3
xy=24
But, I would like to know how the #'s of 8 and 3 were determined.
Also, I am an older student about to enter college. I need to know the best instructional method for beginning to intermediate algebra. I did not do well with it in high school which was a long time ago.
Click here to see answer by jim_thompson5910(28715)

Question 164196: Solve system by the substitution method and indicate wheter each system is independent, inconsistent or dependent
x=1/8y-1
y=1/4x+39
Any help is appreciated.
Click here to see answer by ankor@dixie-net.com(15746)

Question 164336: Saidhari bought a toaster for $60. The price was 1/4 off the list price. What was the list price?
Click here to see answer by checkley77(12569)

Question 164534: Hi, I need help with this problem, I have tried everything. Here it is: The difference of two numbers is 33. If four times the lesser number is subtracted from three times the greater number, the difference is 62. Find the number.
The directions say to choose a variable & use it with the given facts. Then write an open sentence that represents the relationship among the numbers in the problem. Finally, solve the open sentence and find the required numbers.
Thank you so much for your help!
Click here to see answer by jim_thompson5910(28715)

Question 164537: COIN PURSE CONTAINS A MIXTURE OF 15 COINS IN DIMES AND QUARTERS. THE COINS HAVE A TOTAL VALUE OF $3.30. DETERMINE THE NUMBER OF DIMES AND THE NUMBER OF QUARTERS IN THE PURSE.
Click here to see answer by jojo14344(1512)

Question 164579: can someone help me with this problem:
Determine whether the given ordered set of numbers is a solution of the system of equations. yes or no.
(1, -3)
x + y = -2
x - y = 4
Click here to see answer by jim_thompson5910(28715)

Question 164703: Solve the system by addition.
5x - 3y = 13
4x - 3y = 11
Click here to see answer by checkley77(12569)

Question 164702: Solve the system by substitution.
4x - 4y = -16
y = 5x - 8
Click here to see answer by checkley77(12569)

Question 164701: The length of a rectangle is 8 in more than twice its width. If the perimeter of the rectangle is 34 in, find the width of the rectangle.
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Question 164699: Solve the system by addition or substitution.
4x - 4y = -16
y = 5x - 8
Click here to see answer by checkley77(12569)

Question 164735: y = 3x + 6
-6x + 2y = 12
Solve by using the substitution method
Click here to see answer by checkley77(12569)

Question 164734: 4x - 3y = 10
y - 20 = -6x
Solve by addition method
Click here to see answer by checkley77(12569)

Question 164861: Find the solution to the following system of linear equations:
3x + 4y =-8

Not sure how to work this problem out thank you.
Click here to see answer by Fahad_Algebra(1)

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