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

Tutors Answer Your Questions about Linear-systems (FREE)

Question 1136250: Students at one school sell magazine subscriptions to raise money for athletic equipment. The school keeps 20% of sales. How many dollars worth of subscriptions must be sold to make $1500?
Click here to see answer by solver91311(24713)

Question 1136717: The rectangle below has an area of
y
4
+
1
1
y
2
+
3
0
y
4
+11y
2
+30y, start superscript, 4, end superscript, plus, 11, y, start superscript, 2, end superscript, plus, 30 square meters and a length of
y
2
+
5
y
2
+5y, start superscript, 2, end superscript, plus, 5 meters.
What expression represents the width of the rectangle?
Click here to see answer by ikleyn(52785)

Question 1136975: One hundred pure gold is 24-karat gold, which is to soft to be made into jewelry. Most gold is 14- karat gold, Approximately 58% gold. If 18 -karat gold is 75% gold and 12- karat gold is 50% gold how much of each should be used to make a 14 -karat gold bracelet weighing 50 grams
Click here to see answer by josgarithmetic(39617)

Question 1137254: a”Teddy cuts grass in the summer for $20 a lawn. His neighbor, Gavin is
very competitive and decides to cut grass as well but only charges $18 a
lawn. Their total combined revenue one summer was $348. Teddy made
$132 more than Gavin. How many lawns did they each cut?”
Click here to see answer by ikleyn(52785)

Question 1137261: x-y+z=-8
4x+2y-z=7
-2+4y-z=37
Click here to see answer by ikleyn(52785)

Question 1137262: 4x+4y+z=-14
-x+2y+2z=2
x+y+2z=-5
Click here to see answer by naaarrmi(1)

Question 1137461: what is the equation of the line through point (2,1) and Perpendicular to the line through (-4,1) and (3,-2)
Click here to see answer by josgarithmetic(39617)

Question 1137468: determine weather KM and ST are parallel,perpendicular,or neither
K(-3,-7)M(3,-3)s(0,4)T(6,-5)
Click here to see answer by ikleyn(52785)

Question 1137455: If the system of following equations is consistent then find the solution by Matrix
Method -
x + y+ 4z = 6
3x+ 2y -2z =9
5x + y+ 2z =13
Click here to see answer by MathLover1(20850)

Question 1137586: Which graph represents the solution to the following system of equations?
{x-2y=4
{2x+y=-7
Click here to see answer by ankor@dixie-net.com(22740)

Question 1137721: A farmer can buy two types of plant food, mix A and mix B. Each cubic yard of mix A contains 52 pounds of phosphoric acid, 27 pounds of nitrogen, and 8 pounds of potash. Each cubic yard of mix B contains 13 pounds of phosphoric acid, 27 pounds of nitrogen, and 16 pounds of potash. The minimum monthly requirements are 520 pounds of phosphoric acid, 810 pounds of nitrogen, and 320 pounds of potash. Find the set of feasible solutions graphically for the amounts of mix A and mix B that can be used. If x is the number of cubic yards of mix A used and y is the number of cubic yards of mix B used, write a system of linear inequalities that indicates appropriate restraints on x and y. Write an inequality for the constraint on phosphoric acid
Click here to see answer by Theo(13342)

Question 1137813: The point (x,-1) is 13 units from the point (3,11). What are the possible values of x?
Click here to see answer by MathLover1(20850)

Question 1138061:
Click here to see answer by ikleyn(52785)

Question 1138497: For what value of c does the following system have an infinite number of solutions:

3x−y=10
9x−3y=c
Click here to see answer by jim_thompson5910(35256)

Question 1138497: For what value of c does the following system have an infinite number of solutions:

3x−y=10
9x−3y=c
Click here to see answer by ikleyn(52785)

Question 1138597: ”The length of a rectangular garden is three times the width. What are
the dimensions of the garden, if the perimeter is 32m?”
Click here to see answer by ikleyn(52785)

Question 1138600: the perimeter of a rectangular garden is 6x+6 yards.If the width is x yards,find a binomial that represents the length
Click here to see answer by josgarithmetic(39617)

Question 1138607: The owner the Old Fashion Movie House wants to divide his 1800-seat cinema into
three sections, pit, house and balcony with tickets costing $20, $35, and $50 respectively.
He wants the sum seat places in pit and house to be 7 times that of balcony, and to earn $48,000
when all seats are sold out.
a. Derive a system of three equations showing the information given.
b. Using either 𝐂𝐫𝐚𝐦𝐞𝐫′
𝐬 𝐑𝐮𝐥𝐞 or 𝐈𝐧𝐯𝐞𝐫𝐬𝐞 𝐌𝐞𝐭𝐡𝐨𝐝, find how many of seats must he have in each
section?
Click here to see answer by josgarithmetic(39617)

Question 1138668: Help me solve the system by substitution.
x - 10y = 2
x = 11y
Click here to see answer by Boreal(15235)

Question 1138668: Help me solve the system by substitution.
x - 10y = 2
x = 11y
Click here to see answer by ikleyn(52785)

Question 1138669: A $132,000 trust is to be invested in bonds paying 8%, CDs paying 6%, and mortgages paying 10%. The bond and CD investment together must equal the mortgage investment. To earn a $11,200 annual income from the investments, how much should the bank invest in bonds?

Click here to see answer by josmiceli(19441)

Question 1138696: 2x - 7y = -17
5x + 3y = 19
If your friend were going to solve this system of equations by first eliminating y, what general suggestions would you make so your friend could start on this in a systematic way?
Click here to see answer by josgarithmetic(39617)

Question 1138698: Bob fenced in a rectangular garden in his yard. The length of the rectangle is 6 ft longer than the width and the perimeter is 104 ft. What is the width of the rectangle?
Click here to see answer by josgarithmetic(39617)

Question 1138697: If the graphs of a system of two equations are a circle and a parabola, what are the possible numbers of solutions (with real coordinates) of this system?
Click here to see answer by ikleyn(52785)

Question 1139345: The perimeter of the rectangle is 50miles,write a linear equation in two variables for the perimeter.Use the equation to find x when y is 20 miles?
Click here to see answer by josgarithmetic(39617)

Question 1139507: The top three sources of oil imports for the United States in the same year were Saudi Arabia, Mexico, and Canada. The three top countries accounted for 41% of oil imports. The United States imported 1.5 percentage points more from Saudi Arabia than they did from Mexico, and 1.6 percentage points more from Saudi Arabia than they did from Canada. What percent of the United States oil imports were from these three countries? (Round your answers to one decimal place.)
Click here to see answer by greenestamps(13200)

Question 1139578: solve by substitution
2x+3y+2z=18
-4x+y-z=5
2z=-10
Click here to see answer by dkppathak(439)

Question 1139578: solve by substitution
2x+3y+2z=18
-4x+y-z=5
2z=-10
Click here to see answer by jim_thompson5910(35256)

Question 1139590: What is the result of isolating x^2 in the equation? (x+1)^2+(y-8)^2=9
A.x^2 = -y^2 - 2x + 16y - 56
B.x^2=y^2+56
C.x^2=y^2+2x+16y+56
D.x^2=-y^2-56
Click here to see answer by Theo(13342)

Question 1139614: Find the equation of the line passing through (2,-1) and (-3,8).
Click here to see answer by MathLover1(20850)

Question 1139614: Find the equation of the line passing through (2,-1) and (-3,8).
Click here to see answer by Alan3354(69443)

Question 1139632: 7. A 20-feet ladder is leaning against a wall where the top of the ladder is 18 feet from the ground. Find x, the distance
between the bottom of the ladder and the wall.

Click here to see answer by josgarithmetic(39617)

Question 1139802: Sean tried to drink a slushy as fast as he could. He drank the slushy at a constant rate. There were originally 275 milliliters of slushy in the cup. After 13 seconds,210 milliliters of slushy remained.
How fast did Sean drink?
How long did it take Sean to drink all the slushy?

Click here to see answer by Boreal(15235)

Question 1140143: Every evening Jenna empties her pockets and puts her change in a jar. At the end of the week she counts her money. One week she had 40 coins, all them dimes and quarters.
Click here to see answer by josgarithmetic(39617)

Question 1140392: 6x-y=7
Click here to see answer by josgarithmetic(39617)

Question 1140655: $5,581 is invested, part at 15% and the rest at 6%. If the interest earned from the amount invested at 15% exceeds the interest earned from the amount invested at 6% by $261.54, how much is invested at each rate? (Round to two decimal places if necessary.)

Click here to see answer by greenestamps(13200)

Question 1140671: the ratio of soft drinks cans collected by ahmad betty and carol is 9:7:8 together they collected a total of 1344 soft drinks cans. find the difference between the number of soft drinks can collected by ahmad and betty
Click here to see answer by ikleyn(52785)

Question 1140781: Solve the following system of equations for x:
x+y=6
x-y=2
Click here to see answer by Boreal(15235)

Question 1140781: Solve the following system of equations for x:
x+y=6
x-y=2
Click here to see answer by MathLover1(20850)

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