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

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Question 981211: Two numbers are such that the ratio between them is 3:5. If each is increased by 10, the ratio b/w the new numbers so formed as 5:7. Find the original number?
Click here to see answer by josgarithmetic(39617)

Question 981238: A race starts at 11:16am .A person finishes at 1:22pm.what is the time taken
Click here to see answer by Alan3354(69443)

Question 981581: 2. What is the greatest common factor of the terms 14c
2d and 42c
3d?
A. 14c
2d
B. 3c
C. 2c
2d
D. 7c
2d
Click here to see answer by MathLover1(20850)

Question 981522: Joan is 10 years older than Michele
one half on Michele's age is equal to one fourth of Joan's age
how old is Joan and michele
Click here to see answer by JulietG(1812)

Question 981647: Convert 2x +6y -18=0 to the slope and y-intercept form.
Click here to see answer by Alan3354(69443)

Question 981649: What is y=-3/4x +6 written in the form Ax+By+C=0
Click here to see answer by josgarithmetic(39617)

Question 981646: State the equation of the line that is parallel to y= 2x -4 and has the same x-intercept as 3x -4y =12
Click here to see answer by josgarithmetic(39617)

Question 981650: Write the equation of the line defined by -3x +5y=-15 with the same y-intercept. Label steps
Click here to see answer by Alan3354(69443)

Question 981722: 2x-2y=10
3x+3y=16
Click here to see answer by Alan3354(69443)

Question 981772: For the system below: a) solve the system by the linear combination method. Show all work carefully. B) check your answer. X-2y=3 x+y=2 (y+3). Please having a bit of trouble on this one!
Click here to see answer by Alan3354(69443)

Question 981735: kevin put $12 a week into his piggy bank. after a few months he took out $65 which left $139 in the piggy bank write and solve an equation to determine the number of weeks kevin put into his piggy bank before taking any out
Click here to see answer by macston(5194)

Question 981854: George and Carmen went on a bicycle trip.they took a bus to their starting point, and then biked the rest. they traveled 200 kilo in total, and biked 40 more then they were bussed. x= kilometers by bike and y=kilometers traveled by bus. find how many kilometers they traveled by bike.
Click here to see answer by josgarithmetic(39617)

Question 982012: solve the linear system by graphing.Check you solution. y=x-1 , y=3x-9
Click here to see answer by macston(5194)

Question 982010: 4x-y=5 4x+4y=-4 solve the linear system using subtraction
Click here to see answer by MathLover1(20850)

Question 982010: 4x-y=5 4x+4y=-4 solve the linear system using subtraction
Click here to see answer by ikleyn(52786)

Question 982028: solve using algebraic method. if possible check your solution
2x-5y=3
x-2y=7

Click here to see answer by stanbon(75887)

Question 982028: solve using algebraic method. if possible check your solution
2x-5y=3
x-2y=7

Click here to see answer by macston(5194)

Question 982103: solve the system of linear equations and check your work
8x-6y=12
12x-9y=18
Click here to see answer by Alan3354(69443)

Question 982102: solve the system of linear equations and check the solution
3y=11-2x
3x=y-11
Click here to see answer by macston(5194)

Question 982176: solve the following systems of linear equations using any algebraic method.check work if possible
8x-6y=12
12x-9y=18
Click here to see answer by macston(5194)

Question 982348: Write an equation in standard form for the line described. Through (5,9), perpendicular to 8x+y=2
Click here to see answer by Cromlix(4381)

Question 982351: 2x*3Y*5z=1125000
Click here to see answer by Alan3354(69443)

Question 982408: Which equation is true for the value x = 15?
2(x + 3) = 40
2(x − 5) = 30
2(x + 5) = 40
x + 2x = 30
3x − x = 45
Click here to see answer by stanbon(75887)

Question 981392: Consider the following linear regression prediction equation: Y = 12 + -1x. If the predicted value of Y for an observation is 5, calculate the residual for an observation where the observed value of Y is equal to 9.
Click here to see answer by Fombitz(32388)

Question 982720: What is the value of x to 2 decimal places if the following two equations are solved simultaneously?
ax + by = c
kx + my = n
where a = 24 , b = 5, c = 34, k = 5, m = 15 and n = -20.
Click here to see answer by MathLover1(20850)

Question 982746: solve for w
w+75/14=-5
Click here to see answer by Alan3354(69443)

Question 982745: Add
(4x^2-6x+7)
+
(-19x^2-15x-18)

Click here to see answer by Alan3354(69443)

Question 982778: 9+6 (m-1) <-3(-7-4m)
Click here to see answer by josgarithmetic(39617)

Question 982778: 9+6 (m-1) <-3(-7-4m)
Click here to see answer by MathTherapy(10552)

Question 982992: A group of adults and kids went to see a movie. Tickets cost $6.50 each for adults and $3.50 each for kids, and the group paid $34.00 in total. There were
4 fewer adults than kids in the group. How many adults and how many kids were in
the group?
Click here to see answer by Edwin McCravy(20056)

Question 983027: solve for w:
w+75/14=-5
Click here to see answer by stanbon(75887)

Question 983028: Solve the system of equations by graphing
Y=-2x+9
Y=1/3x+2
Click here to see answer by Edwin McCravy(20056)

Question 983261: Find the solution(s) to the following system of equations:
y = 5
y = 3x - 4
Write answer as an ordered pair(s). Separate by a comma if more than one solution.
Click here to see answer by josgarithmetic(39617)

Question 983266: Explain how to find the solution(s) to the system. Give the solutions(s) as ordered pairs rounded to the nearest hundredth, if necessary.
y=-0.5x^2+x+6
y=3.25
Click here to see answer by josgarithmetic(39617)

Question 983451: What is 3x - 2 > 4 equivalent to
Click here to see answer by Fombitz(32388)

Question 983518: Hello, I am having trouble understanding and solving this problem:
Mrs. Mitchell put a total of $10,000 into two accounts. One account earns 6% simple annual interest. The other account earns 6.5% simple interest. After 1 year, the two accounts earned $632.50 interest. Find how much money was invested in each account.
-Thank you.
Click here to see answer by josgarithmetic(39617)

Question 983517: Hello, I am having trouble understanding and solving this problem:
A kayaker can paddle 12 miles in 2 hours moving with the river current. Paddling at the same pace, the trip back against the current takes 4 hours. Assume that the river current is constant. Find what the kayaker's speed would be in still water.

-Thank you.
Click here to see answer by josgarithmetic(39617)

Question 983523: Hello, I am having trouble understanding and solving this problem:
Leyla wants to buy fish, chicken, or some of each for weekend meals. The fish costs $4 per pound and the chicken costs $3 per pound. She will spend at least $11 but no more than $15.
a.) Write a system of inequalities to model the situation.
b.) Graph the system to show the possible amounts Layla could buy.
-Thank you.
Click here to see answer by josgarithmetic(39617)

Question 983525: Hello, I am having trouble understanding and solving this problem:
A furniture company makes desks and chairs. A carpenter can make a chair in 5 hours and a desk 8 in hours. Finishers take 2.5 hours to paint a chair and 2 hours to paint a desk. The carpentry department has enough people to work up to 400 hours per week, and the finishing department can put in 120 hours per week.
a.) Write a system of inequalities to model the situation.
b.) Graph the system to show the possible numers of desks and chairs the company can produce in a week.
-Thank you.
Click here to see answer by solver91311(24713)

Question 983519: Hello, I am having trouble understanding and solving this problem:
Mr.Chandra bought 2 pounds of cheddar cheese and 3 pounds of chicken loaf. He paid $26.35. Mrs.Hsing paid $18.35 for 1.5 pounds of cheese and 2 pounds of chicken loaf. What was the price per pound of each item?
-Thank you.
Click here to see answer by solver91311(24713)

Question 983515: Hello, I am having trouble understanding and solving this problem:
Carla has $2.40 in nickels and dimes. Deron has $5.50 in dimes and quarters. Deron has as many dimes as Carla has nickels and as many quarters as Carla has dimes. How many of each kind of coin does Carla have?

-Thank you.
Click here to see answer by mananth(16946)

Question 983597: Problem
How many solutions does the following system of linear equations have?
6x+2y=36x+2y=3
6x+y = 36x+y=3
a.exactly one solution
b.infinitely many solutions
c.no solutions
Click here to see answer by Alan3354(69443)

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