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

Tutors Answer Your Questions about Linear-systems (FREE)

Question 861499: Admission prices to a movie are $4 for children and $7 for adults. If 75 tickets were sold for $456, how many of each type of ticket were sold?
Click here to see answer by ewatrrr(24785)

Question 861515: Graph the solution set to the system of
inequalities. Use the graph to identify one solution.
y≥x^2
x+y≤6
Click here to see answer by ewatrrr(24785)

Question 861523: y=2x-3
-3x-4y=12
solve each system by substitution
Click here to see answer by ewatrrr(24785)

Question 861513: Simplify. (8x)2 + 82x
__32x2
__128x2
__64x(x + 1)
__16x(x + 1)

Ans. 128x2

Am I correct?
Click here to see answer by ewatrrr(24785)

Question 861172: Is there a quadratic function that has a domain and range of (−∞, ∞)? Why or why not?
Click here to see answer by richard1234(7193)

Question 861728: x + x(5/100) = 112.50
Click here to see answer by Fombitz(32388)

Question 861558: X+Y=1
3X+5Y=12
Click here to see answer by Fombitz(32388)

Question 861946: Hi im stuck in my algebra homework. I really dont understand how to solve linear systems by using substitution.
Heres one of my problems
x-6y=3
2x=2y-9
How do I solve.this???
Please help me.
Click here to see answer by josgarithmetic(39617)

Question 862063: Can someone tell me where I am going wrong with trying to solve by elimination?
8x-3y=-6
5x+6y=75
5(8x-3y=-6) 40x-15y=-30
5x+6y=75
------------
35x-9y =45
Then I am stuck! Do I divide by 35x by 35 and 45 by 35? I am so confused at the moment.

Click here to see answer by solver91311(24713)

Question 862339: Hi, I'm having trouble with this problem:
Write the equation of the line that contains the indicated pair of points. Express the final equation in standard form. (0,0),(-8,3).
I got a slope of 3/-8, then 8y=-3x
Thank you!

Click here to see answer by ewatrrr(24785)

Question 862337: Hi, I'm having trouble with this problem:
Write the equation of the line that contains the indicated pair of points. Express the final equation in standard form. (-5,6),(2,-2).
I got using the formula m=y2-y1/x2-x1
-2-6/2-5= slope 8/3
formula: y2-y1=m(x2-x1)
y-6=8/3--multiply by 3 to get rid of denominator
=-58=8x-3y
Thank you!

Click here to see answer by ewatrrr(24785)

Question 862665: I need help with this:
Graph the line with slope -2/3 passing through the point (1,5).
Please help cause I have no clue how to do this even after seeing the instruction videos and reading about it on this website and others... :(
Click here to see answer by ewatrrr(24785)

Question 863146: My problem is this:
Solving by elimination:
9x+4y = -16
3x-4y = -8
I have worked it out several times and don't get it.
9x+4y = -16
3x-4y = -8
Rewrittten:
12x = -24
x=-2
Rewritten:
9(-2)+4y=-16
4y= -16 9(-2)
y=-34
I then divide -34/4 and get 8 1/2. I still keep getting it wrong on my online homework. Please advise me as to what I am doing wrong.
Click here to see answer by lwsshak3(11628)

Question 863301: I have exams coming up soon but I can't solve these revision questions on simultaneous equations! Can you please explain to me how to solve:
4a+2b=10
9a=27-3b
And
3x-4y=10
2x-y=5
Thank you so much if you answer this! I'm trying to be eligible for further maths in my GCSEs.
Click here to see answer by rothauserc(4718)

Question 863371: Hi, I'm having trouble with this problem:

Solve the system by using either the substitution method or the elimination-by-addition method, whichever seems more appropriate. (If the system is dependent, enter DEPENDENT. If the system is inconsistent, enter INCONSISTENT.)
1/2x-2/3y=22
1/2x+1/4y=0
I got (76,24) as the final answer.
Thank you for your help!
Click here to see answer by Fombitz(32388)

Question 863483: I need help with step by step elimination method solving for x,y.
y=-4
-3x-6y=15
Click here to see answer by ben720(159)

Question 863580: If X<0 and X to the 2nd power + 6x + 6 =22 then what is X+3
Click here to see answer by Fombitz(32388)

Question 863631: Hi, I'm having trouble with this problem. We never went over it in class, my teacher skipped over it. I don't even know where to start.

Solve using a system of equations.
The sum of two numbers is 58, and their difference is 12. Find the numbers.
Thank you so much for your help!!!
Click here to see answer by Fombitz(32388)

Question 863639: Two small containers and one large container can hold 8 cups of water. One large container minus one small container leaves 2 cups of water. How many cups of water does each container hold?
Click here to see answer by ewatrrr(24785)

Question 863697: The cost of renting a van for one day includes the flat rate plus a charge for each mile the van is driven while it is rented. A van that is driven 107 miles costs $97.15. A van that is driven 127 miles costs $106.15. What is the flat rental rate?
I have no idea how to set this up or solve it.
Click here to see answer by Fombitz(32388)

Question 863813: solve the following system of equation. enter the y- coordinate of the solution
5x+2y=21
-2x+6y=-34
Click here to see answer by ewatrrr(24785)

Question 863792: -4x-2y=-36
4x+y=26
Click here to see answer by checkley79(3341)

Question 863840: -3/5v-4/5=7/3v-5
Click here to see answer by stanbon(75887)

Question 863842: Please help me solve this equation
Use the echelon method to solve this system of two equations in two unknowns
x/2 + y = 3/2
x/3 + y = 1/3
Click here to see answer by rothauserc(4718)

Question 863851: The math club and science club had fundraisers to buy supplies for a hospice, The math club spent $135 buying sixcases of juice and one case of bottled water. The science club spent $110 buying four cases of juice and two cases of bottled water. How much did a case of juice cost? How much did a case of bottled wated cost?
Click here to see answer by stanbon(75887)

Question 863933: The units of the digits of a two-digit number is 1 less than 3 times the tens digit. If the digits are reversed, the new number is 45 more than the original number. Find the number.
Click here to see answer by mananth(16946)

Question 864281: Can You Help Me Solve This Expression? 14x-11x-6x
Click here to see answer by jim_thompson5910(35256)

Question 864342: So, we started learning about systems of equations, and I'm a bit tripped up.
{4X+2Y=6
{-3X-7Y=1
Using substitution how would I solve this system?
Another one that has me confused is this:
{X+Y=13
{X-Y=2
I have tried it a couple times before, but I'm quite sure they aren't correct.
Click here to see answer by mananth(16946)

Question 864661: Hi, I'm having trouble with this problem:
Graph the linear equation by finding the x and y intercepts.
y= 1/2x + 3/4
Thank you so much for your help!!
Click here to see answer by mananth(16946)

Question 864660: Hi, I'm having trouble with this problem:
Graph the linear equation by finding the x and y intercepts.
y=-4x-3
Thank you so much for your help!!
Click here to see answer by jim_thompson5910(35256)

Question 864643: An objective function and a system of linear inequalities representing constraints are given. Graph the system of inequalities representing the constraints. Find the value of the objective function at each corner of the graphed region. Use these values to determine the maximum value of the objective function and the values of x and y for which the maximum occurs.
Objective Function z = 11x - 25y
Constraints 0 ≤ x ≤ 5
0 ≤ y ≤ 8
4x + 5y ≤ 30
4x + 3y ≤ 20

Click here to see answer by KMST(5328)

Question 864755: Oh boy, I'm stumped as to how to proceed. We're working with systems of equations right now and this problem is really starting to tax my patience.
"$24000 is invested in three different accounts, each paying 1%, 2%, and 3% interest, respectively. After 1 year, the simple interest earned from all three accounts amounts to $440. If the account paying 1% interest contains three times the amount in the account paying 2% interest, how much was invested in the three accounts?"
Specifically, I don't know how to set this information up as a system of equations. Since there are three accounts, I think this should be a 3x3 equation, but I've only been able to come up with
x+y+z=24000, and (.01)x+(.02)y+(.03)z=440

Click here to see answer by richwmiller(17219)

Question 865127: write the linear equations of the line joining the points (0,70)and(14,70)
Click here to see answer by jim_thompson5910(35256)

Question 865127: write the linear equations of the line joining the points (0,70)and(14,70)
Click here to see answer by lwsshak3(11628)

Question 865215: am i right in saying that if the x intercept is -2 and the y intercept is 6 and i am needing to graph the points, the ordered pairs will be x intercept (-2,0) and y intercept (0,6)?
Click here to see answer by Alan3354(69443)

Question 865210: how do I put y=-x/3 + 8/3 in standard form ? AX + BX = C is the standard form so should it be x/3 + y = 8/3? Can't figure out if I should flip it to 3/x or not?
Click here to see answer by Alan3354(69443)

Question 865212: for equation y-3=3(x+1), i need to write an equation in standard form of a parallel line that passes thru (0,-2) and on the parallel line, i need to find the ordered pair where x=-2. please help
Click here to see answer by rothauserc(4718)

Question 865303: Im getting frustrated with this and everything I have looked up isn't being helpful.
Find the missing coordinate to complete the ordered-pair solution to the given linear equation.
4x − 3y = −12
(3, )
( ,-8)
( ,10)
Please help me understand how to do this.
Thanks
Mike
Click here to see answer by Alan3354(69443)

Question 865616: a fence is being built to enclose a backyard. the yard is 150 ft wide by 325 ft long. the back of the house (325) ft will act as one side of the fence. Fencing sells for $13.00 per ft. Which of the following will be the cost of the fence?

Click here to see answer by ewatrrr(24785)

Question 865719: Solve the sytem:
2x-y=3
3x+3y=5
Solving for x and y , you get a fraction . I dont know how to do this problem , please help me .
Click here to see answer by lwsshak3(11628)

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