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

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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.

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Question 123709This question is from textbook McDougal Littell Algebra 1

: 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.This question is from textbook McDougal Littell Algebra 1

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Question 123802:

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

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Question 123848This question is from textbook Algebra 1

: 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. This question is from textbook Algebra 1

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

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Question 124011This question is from textbook Prentice hall mathematics algebra 1
: Do the points in each set lie on the same line? Explain your awnser.

P(4,2),Q(-3,2),R(2,5)This question is from textbook Prentice hall mathematics algebra 1

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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)
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Question 124027:
how many solutions do this linear system have? 2x-6y=-14,-2x+3y=7
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Question 124032: at what point do the lines 5x+y=19 and -x+2y=-6 intersect I tried and got the answer (4,-1)
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Question 124031: SOLVE BY SUBSTITUTION METHOD AND DETERMINE WHETHER ITS A INDEPENDENT, DEPENDENT, OR INCONSISTENT
x=2y-7
3x+2y=-5

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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
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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?

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Question 124092: what is the solution to y=-2x+4 and y=1x+2
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Question 124311: how do i solve -4x-4y=4
-10x-7y=-2
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Question 124224This question is from textbook Prentice hall mathematics algebra 1
: Which is the slope of Ax+By=C?
-B/A C/A -A/B C/BThis question is from textbook Prentice hall mathematics algebra 1

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Question 124481: 5x-6y=3
2x=12y=12
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Question 124480: 5x-6y=3
2x=12y=12
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Question 124486: 1000x+30y=500
x-2y=11
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Question 124490:
(2x+3)(5x-7)=(10x+1)(x+6)
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Question 124545: Write the equation of the line with slope 4/3 and y-intercept (0, 3) in slope-intercept form (y = mx + b).
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Question 124544: Write the equation of the line through (-2, 3) and parallel to y = 2x - 4 in slope-intercept form (y = mx + b).

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Question 124593: What line goes through (-9, 0) that has a slope of 3/5? Write your answer in standard form Ax + By = C.

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Question 124590: Write the equation of the line through (2, 3) and perpendicular to y = -2x +
4 in slope-intercept form (y = mx + b).

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Question 124595: Identify the ordered pair(s) so that it (they) is (are) not a solution(s) for 7x + 2y = 17:
(0, 2/17)
(1, 17/7)
(0.5, 27/4)
(-2, 31/2)

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Question 124659:
Given f(x) = x2 + 5x + 2, find f(0).
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Question 124655: Solve the system by addition.
4x – 5y = –19
x + 3y = 8

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Question 124654: Solve the system by substitution.
x + 5y = 11
–3x – 2y = –7

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Question 124657: The sum of two numbers is 38. Their difference is 10. What are the two numbers?

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Question 124656: The sum of two numbers is 38. Their difference is 10. What are the two numbers?

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Question 124658: Rewrite the equation –3x + 9y = –90 as a function of x.

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Question 124713: The sum of two numbers is 52. Twice the first number is 17 more than the second. Find the numbers. I just need to know how to set this up.
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Question 124731: Your weekly paycheck is 10 percent less than your coworker's. Your two paychecks total 640. Find the amount of each paycheck.
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Question 124732: After robbing a bank in Dodge City, a robber gallops off at 13 mi/h. 20 minutes later, the marshall leaves to pursue the robber at 16 mi/h. how long (in hours) does it take the marshall to catch up to the robber?
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Question 124770: Write the equation in either slope-intercept form or standard form:
The vertical line through the point(-45,61)
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Question 124766: Find the slope of the line x=-25?
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Question 124769: Write the equation in either slope-intercept form or standard form:
The line through the points (0,12) and (5,8)
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Question 124768: Write the equation in either slope-intercept form or standard form:
The line with the slope m=5, passing through the point (-12,0)
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Question 124806: Please help me. I need to know how to plugin a problem for Point-Slope equations. Please use this as an example. (3,5), m= -1
Andrew
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Question 124730: Wilma drove at an average speed of 50 mi/h from her home in City A to visit her sister in City B. She stayed in City B 10 hours, and on the trip back averaged 45 mi/h. She returned home 40 hours after leaving. How many miles is City A from City B
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Question 124877This question is from textbook algebra I
: y=4x+11
-6x+8y=36
solving systems by substitution ??????? Help please !!!!!This question is from textbook algebra I

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Question 124876: Solve the following system by substitution
4x-12y=5,
-x+3y= -1
Show your solution below:
What is the solution for this system?
What type of system is this?

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