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

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Question 417759: A manufacturer produces three types of radios: deluxe, standard and economy. Each radio uses three different types of transistors: P, Q and R. The deluxe radio uses 2 P's, 7 Q's and 1 R. The standard contains 2 P's, 3 Q's and 1 R, and the economy model requires 1 P, 2 Q's and 2 R's.
How many radios of each type can be constructed if the total number of transistors (P's, Q's and R's) available are 2200, 3400 and 1400 respectively and all transistors must be used?

Click here to see answer by ankor@dixie-net.com(15746)

Question 417981: 4x + 3y = -4
4x -y = 0
Click here to see answer by mananth(12270)

Question 417980: x + 2y = -1
3x - 2y =9
SOLVE FOR X AND Y

Click here to see answer by stanbon(57967)

Question 417980: x + 2y = -1
3x - 2y =9
SOLVE FOR X AND Y

Click here to see answer by algebrahouse.com(1079)

Question 417980: x + 2y = -1
3x - 2y =9
SOLVE FOR X AND Y

Click here to see answer by mananth(12270)

Question 418109: The perimeter of a rectangle is 50 cm. The length is 9 cm more than the width. What is the length and width of this rectangle?
Click here to see answer by ewatrrr(10682)

Question 418187: Could someone please help me understand how to do this equation?
-8x-25=27 2/3
I know I have to multiply by three to make a whole number so 27 2/3 becomes -83
then I believe I am supposed to add either -25 or 25 to both sides
Click here to see answer by edjones(7569)

Question 418129: How do you solve this problem?
x+y+z-w=2
3x+y-z+w=8
x-5y+2z+w=1
-x-y+z+3w=4
Click here to see answer by Edwin McCravy(8999)

Question 418286: how do you write an equation of a line thru the given pts. in Ax+By=C form?
(4,1) (6,3)
Helpppp Pleaase!

Click here to see answer by josmiceli(9817)

Question 418286: how do you write an equation of a line thru the given pts. in Ax+By=C form?
(4,1) (6,3)
Helpppp Pleaase!

Click here to see answer by Edwin McCravy(8999)

Question 418409: Find the slope and the y-intercept of the following linear equation.
-3x + 2y = 18
Click here to see answer by rfer(12730)

Question 418481: what is the solution of the system of linear equations.... y=1/2x+8 and 2x+y=18
Click here to see answer by algebrahouse.com(1079)

Question 419086: a chemist has one solution containing 30% insecticide and another solution containing 50% insecticide. How much of each solution should the chemist mix to get 200L of a 42% insecticide?
Click here to see answer by mananth(12270)

Question 419128: A wine merchant wishes to get 300 liters of wine that sells $3 per liter.She wishes to mix wines selling at $4.5, $1.5 and $2.25 respectively .She must use twice as much of the $2.25 wine as the $1.5 wine.how many liters of each should she use?

Click here to see answer by mananth(12270)

Question 419155: use substitution
y=5x-7
-4x=+y=-1

That is the exact problem in my text book and to use the automated part of this website can you please tell me what to put in the slots
Click here to see answer by shree840(260)

Question 419189: how do i solve this system by substitution method.
2x-5y=-1
x-3y=-3
Click here to see answer by ewatrrr(10682)

Question 419473: -x+4y=20
how to solve this equation in slope intercept form.
then find the slope y-intercept
Click here to see answer by sudhanshu_kmr(1152)

Question 419426: Find the solution to the system of equations given below using elimination by addition.
5x + 2y = -45
5x + 8y = -15

Click here to see answer by ankor@dixie-net.com(15746)

Question 419592: One train leaves a station heading due west. Two hours later a second train leaves the same station heading due east. The second train is traveling 15 mi/h faster than the first. Six hours after the second train leaves, the two trains are 580 miles apart. Find the rate at which each train is traveling.
Click here to see answer by mananth(12270)

Question 419840: Solve the following systems of equations:
10x + 3y = -12
5x + 4y = -16
Is this answer correct?
40x + 12y = -48
15x - 12y = 48
25x = 0 = No solution

Click here to see answer by scott8148(6628)

Question 419934: Solve the systems by graphing
3x-2y=-24
-3x-y=6
I put them in point slope for
I think:
y=3/2x + 12
y=-3x-6
Then created a T-chart
x y
0 12
2 15
x y
0 -6
1 -9
Can you please help me? I do not understand why I am stuck....
Click here to see answer by ewatrrr(10682)

Question 419776: The sum of two numbers is3. Four times the smaller, plus the larger, is -48. Find the numbers.
Click here to see answer by ewatrrr(10682)

Question 419775: The sum of two numbers is 25. Three times the smaller number is twice the larger number. Find the numbers.
Click here to see answer by ewatrrr(10682)

Question 420139: 4x-2y=-3 8x-4y=5
Click here to see answer by mananth(12270)

Question 420648: 3x - 4y = 4
x + 2y = 8
(Solve using any method, and please name the method as well)
Click here to see answer by stanbon(57967)

Question 420736: i am having trouble with trying to figure out how to graph y=x-1,y=-x+3 to get (2,1)
Click here to see answer by mananth(12270)

Question 420741: Please help me solve this equation
4x + 4y + z = 2
-x + 2y + 3z = 5
x + y + 4z = -7
Click here to see answer by mananth(12270)

Question 420788: I really need help. I have only 1 question. here is is the info.
You are driving from Grand Rapids, to Detroit, MI. You leave Grand Rapid at 4:00pm. At 5:10pm you pass through Lansing, MI a distance of 65miles.
I have to write a linear equation that gives the distance in miles, d, in terms of time, t. Let t represents the number of the minutes since 4:00pm. Then, what time will you arrive in Detroit if it is 150 miles from Grand Rapidsm MI.
Okay, I think: d = 65 miles, and t = 70 minutes.
65 divided by 70 = 0.928 miles per minute.
0.928 x 150 minutes = 2.33 hours (arrival time would be at 6 hours and 33 minutes.
Thank you for any help that you can give me.
Click here to see answer by stanbon(57967)

Question 420835: Graph the following equations and solve the system.
y=-1
3x-y=4
Click here to see answer by mananth(12270)

Question 420835: Graph the following equations and solve the system.
y=-1
3x-y=4
Click here to see answer by dnanos(83)

Question 420846: Hello I need help with arranging like terms. The method the linear system would have to be solved is elimination. The problem I have to solve is: 1. 2x - y = 32 2. y - 5x = 13. I changed y - 5x = 13 to -5x + y = -13 and I didn't find the solution. The false solution I got though was (x = -6.333 ( repeating)and y = -44.666 (repeating)) Please help me out by answering my question step-by-step. Thank You very much.
Click here to see answer by sudhanshu_kmr(1152)

Question 421267: 2x + 3y = 12
4x - 3y = 6
what is the solution and how do i plot 3 points on the graph to make a line?
Click here to see answer by rfer(12730)

Question 421484: please help me solve this word equation with full working out.
ben and vickky have $250 between them. ben gives Vickky $50. now vickky has 4 times as much money as Ben. use an equation to find out how much money each of them had to start with.
Click here to see answer by Theo(3504)

Question 421742: How do I solve the linear system 3x - 4y = 1 and y = - 2x + 8 and write my anwser for the y coordinate?
Click here to see answer by rfer(12730)

Question 421831: Good Evening,
I'm having a hard time catching on to linear equations and graphing them. Can you please show me how to figure out the answer for this problem.
5X-Y=-8
Thank you in advance for your help.
Click here to see answer by mananth(12270)

Question 421834: i have to solve for x and y. 4y=x+13
Click here to see answer by edjones(7569)

Question 421879: What is the equation in slope intercept form?
2x+7y-14=0
Click here to see answer by algebrahouse.com(1079)

Question 421939: what is the solution of the fallowinf linear system? -4x-y=5, -12x-3y=15
Click here to see answer by solver91311(17077)

Question 422273: A rectangle has a perimeter (P) of 58 inches. The length (L) is one more than 3 times the width (W). write and solve a system of linear equations to find the length and width of the rectangle.
Click here to see answer by blwinbbbles(106)

Question 422487: what is the y-intercept in the following equation? y= -x-4
Click here to see answer by Gogonati(817)

Question 422718: Solve the following system of linear equations. (If the system has no solution, enter NONE for each answer. If the system is dependent, enter INFINITELY MANY for each answer.)
y=x+2
y=-x-6
x = ?
y = ?
Pls show me the steps on how to get the answer. thanks
Click here to see answer by rapaljer(4667)

Question 422831: A driveway rises 11 feet over a horizontal distance of 112 feet.Find the slope of the driveway.Round your answer to two decimal places
Click here to see answer by blwinbbbles(106)

Question 423021: Solve the following system of equations
x+6y=6
x=5-6y
It is my understanding that there is no solution for this problem because if x=5-6y and you plug that into the first equation you have 5-6y+6y=6, then y becomes eliminated and it leaves you 5=6 which is not an answer. Am I right, or am I doing this wrong? The solution box is asking for an ordered pair, but I don't see how you can get one.
Click here to see answer by jim_thompson5910(28715)

Question 423304: What line includes the ordered pairs (1,3) and (0,1)?

Click here to see answer by lwsshak3(6763)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890