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

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Question 1077751: x + y = 16 x-y = 10 solve by substitution.
The answer sheet says (8,-2) I am coming up with something different. Please help!

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Question 1077749: The difference between two numbers is 6. Ten times the smaller number is six times the larger number. What are the two numbers?
We are working out of systems of equations chapter. I know how to do the work when the equations are given and know how to substitute to get my x and y. Then this came along, this word problem. I don't know how to write the equations. I believe the first one is x-y=6 but I can't see the second one in my mind. I spent hours trying to figure it out. Please help!

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Question 1077749: The difference between two numbers is 6. Ten times the smaller number is six times the larger number. What are the two numbers?
We are working out of systems of equations chapter. I know how to do the work when the equations are given and know how to substitute to get my x and y. Then this came along, this word problem. I don't know how to write the equations. I believe the first one is x-y=6 but I can't see the second one in my mind. I spent hours trying to figure it out. Please help!

Click here to see answer by MathTherapy(10552) About Me 

Question 1077815: The royal fruit company produces two types of fruit drinks. The first type is 45% pure fruit juice, the second type 95% fruit juice. The company is attempting to produce a fruit drink that contains 65% pure fruit juice. How many pints of each of the two existing types of drink must be used to make 80 pints of a mixture that is 65% pure fruit juice?
Click here to see answer by jorel1380(3719) About Me 

Question 1077868: What is the rate of change of the line given the equation 3x-4y=-8
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Question 1077867: What is the equation of the line that passes through the points (-4,2) and (-8,8)
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Question 1077905: Consider the eqautions 3x+4y=7 and 6x+8y=13. Is the pair of equations consistent, inconsistent, or dependant?
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Question 1077866: What is the solution to the system of equations. 3x-4y=19. Y=2x-11
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Question 1077953: Solve -x+4y when x=-4/5 and y=1/3
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Question 1077869: What are the roots of the function f(x)=(2x-1)(x+5)
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Question 1078098: A store sells juice boxes in packages of 6 boxes and 8 boxes. They have 288 juice boxes. This is represented by the function 6x+8y=288. Use the x- and y- intercepts to graph the equation. Then intercept the x- and y-intercepts. I'VE been trying for hours. Please help!
Click here to see answer by addingup(3677) About Me 
Question 1078098: A store sells juice boxes in packages of 6 boxes and 8 boxes. They have 288 juice boxes. This is represented by the function 6x+8y=288. Use the x- and y- intercepts to graph the equation. Then intercept the x- and y-intercepts. I'VE been trying for hours. Please help!
Click here to see answer by MathTherapy(10552) About Me 

Question 1078096: A store sells juice boxes in packages of 6 boxes and 8 boxes. They have 288 juice boxes. This is represented by the function 6x+8y=288. Use the x- and y- intercepts to graph the equation. Then intercept the x- and y-intercepts.
Click here to see answer by Boreal(15235) About Me 

Question 1078113: Solve the system of equations
y=-x^2+3x-6
y=1/2x+1

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Question 1078113: Solve the system of equations
y=-x^2+3x-6
y=1/2x+1

Click here to see answer by Alan3354(69443) About Me 
Question 1078113: Solve the system of equations
y=-x^2+3x-6
y=1/2x+1

Click here to see answer by Boreal(15235) About Me 

Question 1078287: For each problem, circle the expression that has a value different from the other two.
Click here to see answer by ikleyn(52786) About Me 

Question 1079094: An airplane traveling with wind flies 450 miles in 2 hours. On the return trip the plane takes 3 hours to travel the same distance. Find the speed of the airplane if the wind is still
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Question 1079094: An airplane traveling with wind flies 450 miles in 2 hours. On the return trip the plane takes 3 hours to travel the same distance. Find the speed of the airplane if the wind is still
Click here to see answer by jorel1380(3719) About Me 
Question 1079094: An airplane traveling with wind flies 450 miles in 2 hours. On the return trip the plane takes 3 hours to travel the same distance. Find the speed of the airplane if the wind is still
Click here to see answer by ikleyn(52786) About Me 
Question 1079094: An airplane traveling with wind flies 450 miles in 2 hours. On the return trip the plane takes 3 hours to travel the same distance. Find the speed of the airplane if the wind is still
Click here to see answer by josmiceli(19441) About Me 

Question 1079345: solve 4x+9y+8z=14 x+2y+5z=0 x-4y-3z=-4
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Question 1079345: solve 4x+9y+8z=14 x+2y+5z=0 x-4y-3z=-4
Click here to see answer by MathTherapy(10552) About Me 

Question 1079554: Determine whether the statement is true or false.
If x - 3 is a factor of a polynomial f(x), then f(-3) = 0.

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Question 1079603: How many solutions does 5(x -4) = 5(x-9) have?
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Question 1080007: Mrs. Powell has $800 invested in stocks and $500 invested in a Certificate of Deposit. The CD has an interest rate two times greater than the stocks. If her annual interest on these two investments is $45, at what rate of interest is the $500 invested?
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Question 1080407: How to solve x^1/2-x^1/4-6=0 by substitution?
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Question 1080451: Find the solutions to the following systems of equations:
(a){x^2+y^2= 100
y−x= 2
(b){y−log base9(x+ 1) = 0
y−log base9(x) = 1/2.

Click here to see answer by rapture(86) About Me 
Question 1080451: Find the solutions to the following systems of equations:
(a){x^2+y^2= 100
y−x= 2
(b){y−log base9(x+ 1) = 0
y−log base9(x) = 1/2.

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Question 1080499: hey could u please help me on my word problem ( tickets for a football match are sold at $50 for each adult and $5 for each children . a company bought 28 tickets
If X of these tickets were for adults,write interm of X
a) the number of ticket for children
b) the amount spent on tickets for adult
c)the amount spent on tickets for children.)

Click here to see answer by ikleyn(52786) About Me 

Question 1080824: Find the x-intercept and y-intercept of the line.
3x + 5y = -15

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Question 1080855: 4x-12y-8z=A^2
8x-20y+Az=36
8x-32y+4z=72
Find all values of A For which the system has no solution.
Please help, can you offer step by step so I understand how to do it?

Click here to see answer by ikleyn(52786) About Me 

Question 1080854: Find the center and radius of the circle whose graph passes through the points (-3,-5), (-9,-13), and (-2,-12). Hint: use the equation x^2+y^2+ax+by+c=0.
I need help, I have various examples but they skip steps so I don't understand how to solve it.

Click here to see answer by josgarithmetic(39617) About Me 

Question 1080945: Determine whether the statement makes sense or does not make sense, and explain the reasoning. The model T=0.16n+2.83 describes the average movie ticket price, T, n years after 1980, so I can use it to estimate the average movie ticket price in 1980?
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Question 1080988: By solving these equation
Px+y+z=6
3x-y+11z=6
2x+y+4z=q
Find the condition of
(i) a unique solution
(ii) no solution
(iii) infinitely many solutions

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Question 1081395: (-2.75, -10)
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Question 1081499: Karen is weighing different children’s blocks. Four red blocks and
five blue blocks weigh 32 ounces. One red block and eight blue
blocks weigh 35 ounces. What is the total weight of one red and
one blue block?

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Question 1081499: Karen is weighing different children’s blocks. Four red blocks and
five blue blocks weigh 32 ounces. One red block and eight blue
blocks weigh 35 ounces. What is the total weight of one red and
one blue block?

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Question 1081755: Five years ago A age was four times the age of B. Five years hence A age will be the age of B find their present ages.
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Question 1081893: To rent a certain meeting room, a college charges a reservation fee of $33 and an additional fee of $7.80 per hour. The history club wants to spend less than
$95.40 on renting the meeting room. What are the possible amounts of time for which they could rent the meeting room? Use t for the number of hours the meeting room is rented, and solve your inequality for t.

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Question 1081967: A simple linear equation has been fit to 15 (x, y) pairs
with a slope of 2 units and an intercept of 5 units. What is
the predicted value when the independent variable is
equal to 20?

Click here to see answer by Boreal(15235) About Me 
Question 1081967: A simple linear equation has been fit to 15 (x, y) pairs
with a slope of 2 units and an intercept of 5 units. What is
the predicted value when the independent variable is
equal to 20?

Click here to see answer by MathTherapy(10552) About Me 

Question 1082125: Find a formula for f^−1(x)if f(x)=((x−1)/(x+1))^3
f^−1(x)=
.
(f^−1)′(x)=

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Question 1082232: When you graph a system of two linear equations, which outcome is NOT possible?
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Question 1082402: Separate the x- and y- values with a comma. -3x=42-16y and 14x=76-16y

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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, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515