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

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Question 1099130: 12x-4y=18
-4x+y=6

Click here to see answer by Fombitz(32388) About Me 

Question 1099131: x1+x2+x3=6
2x1-x2+3x3=4
4x1+5x2-10x3=13

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Question 1099131: x1+x2+x3=6
2x1-x2+3x3=4
4x1+5x2-10x3=13

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

Question 1099056: 3b+8-6b-2
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Question 1099055: 5x-2x+4f
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Question 1099238: If Shawn and Dorian each rented bikes for the same number of hours and each paid the same price, how much did each pay for the rental?
Click here to see answer by Fombitz(32388) About Me 

Question 1099347: how do I figure out the slope of a graph with no coorfinates
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Question 1099448: Ally's hotel ordered 200 flowers for annual celebration. They ordered carnations at 1.50 each, roses at 5.75 each, and daisies at 2.60 each. They ordered mostly carnations and 20 fewer roses than daisies. The total order came to 589.50. How many of each type of flowers was ordered?
Click here to see answer by ikleyn(52786) About Me 
Question 1099448: Ally's hotel ordered 200 flowers for annual celebration. They ordered carnations at 1.50 each, roses at 5.75 each, and daisies at 2.60 each. They ordered mostly carnations and 20 fewer roses than daisies. The total order came to 589.50. How many of each type of flowers was ordered?
Click here to see answer by greenestamps(13200) About Me 

Question 1099450: The Swanzy arcade in Accra uses 3 different colored tokens for their game machines. For $20, you can purchase any of the following mixtures of token. 14 gold, 20 silver and 24 bronze: OR, 20 gold, 15 silver and 19 bronze: OR, 30 gold, 5 silver and 13 bronze. What is the monetary value of each token?
Click here to see answer by greenestamps(13200) About Me 

Question 1099434: Hector made an extra $5,000 last year from a part-time job. He invested part of the money at 6% and the rest at 7%. He made a total of $340 in interest. How much was invested at each rate?
Click here to see answer by richwmiller(17219) About Me 

Question 1099708: I don't understand how to do 8x-4y=16 I started to subtract 8 from 8 then subtract 8 from 16
Click here to see answer by Fombitz(32388) About Me 

Question 1099734: Newton's Law of Cooling governs the temperature of an object T(t)T(t) initially at temperature T0T0 as a function of time when placed in an environment with temperature TeTe . The object's temperature is given by the equation T(t)=Te+(T0−Te)e−rtT(t)=Te+(T0−Te)e−rt where rr is the cooling rate of the system.
Billy Jean cooked 1lb. of linguini in a pot of boiling water (212F). When the pasta was perfectly al dente, she turned off the stove and enjoyed her dinner. When she returned to the pot 15 minutes later, the water was 102F. If the rate of cooling of water is r=0.1r=0.1 , what is the temperature in Billy Jean's kitchen? Round your answer to one decimal place.

Click here to see answer by Fombitz(32388) About Me 

Question 1099735: Write a system of three equations to solve applied problems
The concentration of dissolved oxygen in water varies with temperature. Between 0∘C−50∘C0∘C−50∘C , the relationship can be modeled as a quadratic function. Use the data in the table below to write a system of equations that, if solved, would help you find the quadratic function.
T ( ∘C)∘C) Dissolved oxygen (mgL)(mgL)
10 11.27
20 9.07
30 7.54

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Question 1099775: How can you find the y intercept when you only have a slope?
Example: y= 1/3x + ?

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

Question 1099804: Which statements are true about the ordered pair (−3, 1) and the system of equations?
{x−4y=6
3x+y=−8

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Question 1099797: Simplify (3x - 11y) - (17x +13y) with method please
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Question 1099818: Which ordered pair is the solution to the system of equations. { y = x - 4},
{-4 x + 3y = -3}

Click here to see answer by Fombitz(32388) About Me 

Question 1099811: 2x+6y+7x
Click here to see answer by Fombitz(32388) About Me 

Question 1099829: Newton's Law of Cooling governs the temperature of an object T(t)T(t) initially at temperature T0T0 as a function of time when placed in an environment with temperature TeTe . The object's temperature is given by the equation T(t)=Te+(T0−Te)e−rtT(t)=Te+(T0−Te)e−rt where rr is the cooling rate of the system.
A dish of lasagna is backed at 375F and placed on the counter of the kitchen at room temperature (68F). After 6 minutes, the lasagna cooled to 318F. What will its temperature be 9 minutes later (15 minutes after it was removed from the oven)? Round your answer to one decimal place.
By the way this is a similar question to the one I posted yesterday, but there is one additional number so it's a little bit harder.

Click here to see answer by jorel1380(3719) About Me 

Question 1099733: Newton's Law of Cooling governs the temperature of an object T(t)T(t) initially at temperature T0T0 as a function of time when placed in an environment with temperature TeTe . The object's temperature is given by the equation T(t)=Te+(T0−Te)e−rtT(t)=Te+(T0−Te)e−rt where rr is the cooling rate of the system.
A dish of lasagna is backed at 375F and placed on the counter of the kitchen at room temperature (68F). After 6 minutes, the lasagna cooled to 318F. What will its temperature be 9 minutes later (15 minutes after it was removed from the oven)? Round your answer to one decimal place.

Click here to see answer by jorel1380(3719) About Me 

Question 1099890: Giac collected money in his piggy bank until he was 10 years old. On his birthday, he deposited all $213.45 in the bank. His account earned 9% interest, compounded quarterly. On his 18th birthday, Giac took all of his money out to help buy a car. How much money was in the account at that time?
This is an applied problem using the rate of growth.

Click here to see answer by Theo(13342) About Me 

Question 1099979: The volleyball team has 41 members there are 3 more boys than girls how many girls are there

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Question 1099964: For the purchase of various school supplies, which are subject to 19% VAT, we paid 77 euros and 35 cents. How much would we pay without VAT?
Click here to see answer by rfer(16322) About Me 

Question 1100119: 3X + 4 = -y
2X + Y = 0

Click here to see answer by Alan3354(69443) About Me 

Question 1099963: For the purchase of various school supplies, which are subject to 19% VAT, we paid 77 euros and 35 minutes. How much would we pay without VAT?
Click here to see answer by greenestamps(13200) About Me 

Question 1100183: Prove that the equation
x^7+ 3x+ 3 = 0 has a unique solution. Determine the integer part of that solution.

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

Question 1100209: y=2x-4 and x+2y=12
solve the system of linear equations by graphing

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Question 1100171: the equation of the straight line through A and B is y=2x+8 calculate
1.the coordinates of A and C
2.the equation of the parabola(use point A and C)
3.the coordinates of B
4.the equation of line CE(use point C and )
5.the coordinate of E,the point of intersection of the parabola and line CE
6.the range of parabola

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

Question 1100281: In​ 2012, the population of a city was 5.72 million. The exponential growth rate was 3.79 per year.
​a) Find the exponential growth function.
​b) Estimate the population of the city in 2018.
​c) When will the population of the city be 88 ​million?
​d) Find the doubling time.
This one's also a big one and it is pretty hard.

Click here to see answer by stanbon(75887) About Me 

Question 1100280: The total number of​ restaurant-purchased meals that the average person will eat in a​ restaurant, in a​ car, or at home in a year is 141. The total number of these meals eaten in a car or at home exceeds the number eaten in a restaurant by 11. Ten more​ restaurant-purchased meals will be eaten in a restaurant than at home. Find the number of​ restaurant-purchased meals eaten in a​ restaurant, the number eaten in a​ car, and the number eaten at home.
This one's a big one and it is pretty hard.

Click here to see answer by josmiceli(19441) About Me 
Question 1100280: The total number of​ restaurant-purchased meals that the average person will eat in a​ restaurant, in a​ car, or at home in a year is 141. The total number of these meals eaten in a car or at home exceeds the number eaten in a restaurant by 11. Ten more​ restaurant-purchased meals will be eaten in a restaurant than at home. Find the number of​ restaurant-purchased meals eaten in a​ restaurant, the number eaten in a​ car, and the number eaten at home.
This one's a big one and it is pretty hard.

Click here to see answer by ikleyn(52786) About Me 
Question 1100280: The total number of​ restaurant-purchased meals that the average person will eat in a​ restaurant, in a​ car, or at home in a year is 141. The total number of these meals eaten in a car or at home exceeds the number eaten in a restaurant by 11. Ten more​ restaurant-purchased meals will be eaten in a restaurant than at home. Find the number of​ restaurant-purchased meals eaten in a​ restaurant, the number eaten in a​ car, and the number eaten at home.
This one's a big one and it is pretty hard.

Click here to see answer by richwmiller(17219) About Me 

Question 1100326: on the number line x=2/5 and y=11/5 the point z divides the segment from x to y into two parts such that the distance from x to z is 2/3 of the distance from z to y. find the distance from z to y
Click here to see answer by josgarithmetic(39617) About Me 
Question 1100326: on the number line x=2/5 and y=11/5 the point z divides the segment from x to y into two parts such that the distance from x to z is 2/3 of the distance from z to y. find the distance from z to y
Click here to see answer by greenestamps(13200) About Me 
Question 1100326: on the number line x=2/5 and y=11/5 the point z divides the segment from x to y into two parts such that the distance from x to z is 2/3 of the distance from z to y. find the distance from z to y
Click here to see answer by ikleyn(52786) About Me 

Question 1100617: 3x+y=2 9x+2y=7
Click here to see answer by richwmiller(17219) About Me 

Question 1100283: According to​ Newton's Law of​ Cooling, if a body with temperature Upper T 1T1 is placed in surroundings with temperature Upper T 0T0​, different from that of Upper T 1T1​, the body will either cool or warm to temperature​ T(t) after t​ minutes, whereT(t)equals=Upper T 0T0plus+​(Upper T 1T1minus−Upper T 0T0​)e Superscript negative kte−kt.
A cup of coffee with temperature 160 degrees°F is placed in a freezer with temperature 0 degrees°F. After 15 ​minutes, the temperature of the coffee is 47 degrees°F. Use​ Newton's Law of Cooling to find the​ coffee's temperature after 20 minutes.

Click here to see answer by jorel1380(3719) About Me 

Question 1100842: Is the function y=8/5x^7-8/9 linear or non linear
Click here to see answer by ikleyn(52786) About Me 
Question 1100842: Is the function y=8/5x^7-8/9 linear or non linear
Click here to see answer by Alan3354(69443) About Me 

Question 1100843: Is the function y=-10square root x-5/2 linear or non linear
Click here to see answer by ikleyn(52786) About Me 

Question 1100888: The total mass of a mixture of two liquids is 3.6kg and the total volume is 1000cm3. If 1cm3 of one of the liquids has mass 3g and 1cm3 of the other liquid has mass 4g, calculate the volume and mass of each liquid present.
Click here to see answer by josgarithmetic(39617) About Me 

Question 1100955: Consider a square and a regular hexagon one side of the square is 3 feet longer than a side of the hexagon and the two figures have the same perimeter . What are the lengths of the sides of each figure?
Click here to see answer by greenestamps(13200) About Me 

Question 1100980: The sum of two numbers is 47. The sum of the smaller and 2 times the larger is 76 . Find the numbers
Click here to see answer by josgarithmetic(39617) About Me 

Question 1100983: The sum of two numbers is 47. The sum of the smaller and 2 times the larger is 76 . Find the numbers?
Click here to see answer by josgarithmetic(39617) About Me 

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