Questions on Algebra: Linear Equations, Graphs, Slope answered by real tutors!

Tutors Answer Your Questions about Linear-equations (FREE)

Question 917928: A financial consultant wishes to invest up to a total of $30,000 in two types of securities, one that
yields 10% per year and the other yields 8% per year. Furthermore, she believes that the amount
invested in the first security should be at most one-third of the amount invested in the second security.
What investment program should the consultant pursue in order to maximize income?

Click here to see answer by Hawksfan(61)

Question 917974: Through (-2,-4) parallel to y=2x-3
Click here to see answer by Hawksfan(61)

Question 918076: the manager of nutt's nuts regularly sells cashews for $6.50 per pound, pecans for $7.50 per pound, and peanuts for $2.00 per pound. hw many pounds of cashews and pecans should be mixed with 40 pounds of peanuts to obtain a mixture of 100 pounds that will sell for $4.89 a pound so that the revenue is unchanged?
Click here to see answer by josgarithmetic(39617)

Question 918226: How much salt must be added to 60 Ltr. of a 20% solution of salt to increase it to 40% solution of salt?
Click here to see answer by richwmiller(17219)

Question 917629: Write an equation the line that has x- Write an equation the line that has x- intercept -3 and y- intercept 2
5

Click here to see answer by Fombitz(32388)

Question 918259: The coordinates below represent two linear equations.

How many solutions does this system of equations have?

Line 1
x y
�1 6
0 4

Line 2
x y
0 7
1 5

A.

0

B.

exactly 1

C.

exactly 2

D.

infinitely many

Click here to see answer by ewatrrr(24785)

Question 918257: A collection of dimes and nickels is worth $9.50. There are 132 coins in all.

How many of each coin are there?

dimes
nickels

Click here to see answer by AlgebraLady88(44)

Question 918328: I'm not entirely sure how to do this problem. I need to set up the equation with one variable. I don't need to solve it.
A concert brings in $1148 in ticket sales. Regular tickets cost $8, while student tickets cost $5.
A total of 172 tickets were sold. How many regular tickets and student tickets were sold?
Click here to see answer by richwmiller(17219)

Question 918435: Each ordered pair is a solution of a direct variation. Write the equation of direct variation. Then graph your equation and show that the slope of the line is equal to the constant of variation.

Click here to see answer by stanbon(75887)

Question 918458: Write an equation of the line that passes through the point and has the given slope (4,-3) m=6
Click here to see answer by josgarithmetic(39617)

Question 918575: What is the slope of x=0? Thanks for your help.
Click here to see answer by richard1234(7193)

Question 918604: Kathie spent $45 on a fruit salad. She bought bananas, mangoes, and apples. Bananas cost $1 per pound, mangoes cost $3 per pound, and apples cost $2 per pound. Identify the linear equation in three variables that represents this situation.
Click here to see answer by ewatrrr(24785)

Question 918754: Please explain what recursive and explicit formulas in algebra are. Thank you!
Click here to see answer by Theo(13342)

Question 918824: The question is this: write a linear equation that has (3, -2) as the solution.
Began thinking that m= would equal -2/3 but began second guessing myself as I was worried that I should have a 2nd y and x coordinates for the y2-y1/ x2-x1.
Initially I plugged in :
-2 = (-2/3)3 +b
But again worried that my slope, m , was not (-2/3).
Thanks for your help.
Click here to see answer by stanbon(75887)

Question 918840: i need help with the following problem that I was given in my class:
When put on a coordinate plane, Rogers Street can be represented by the equation y = 2x - 5. Broadway is parallel to Rogers Street and goes through the point (1, 0). Write the equation for Broadway in slope-intercept form.
Click here to see answer by josgarithmetic(39617)

Question 918854: determine whether the function is linear or quadratic,identify the quadratic, linear , and constant terms
f(x)=(3x+3)(5x-2)

Click here to see answer by MathLover1(20849)

Question 918889: Complete the equations of the system in slope-intercept form. Use a decimal for the slope if necessary.

Line 1
x y
�2 4
2 6

Line 2
x y
�2 �2
0 4

Line 1: y = _____ x + ____
Line 2: y = ____ x + _____

Click here to see answer by stanbon(75887)

Question 918894: What is the solution to the system?

Line 1
x y
�1 �2
1 2

Line 2
x y
�2 10
4 1

( ____ ,_____ )

Click here to see answer by ewatrrr(24785)

Question 918894: What is the solution to the system?

Line 1
x y
�1 �2
1 2

Line 2
x y
�2 10
4 1

( ____ ,_____ )

Click here to see answer by Alan3354(69443)

Question 918890: The coordinates below represent two linear equations. How many solutions does this system of equations have?

Line 1
x y
�4 8
4 6

Line 2
x y
�1 1
3 5

A.

0

B.

exactly 1

C.

exactly 2

D.

infinitely many

Click here to see answer by Alan3354(69443)

Question 918913: (-2,3) (4,k), m= 1/3 how do you get the answer for the value of k fir the pair of points with the given slope
Click here to see answer by stanbon(75887)

Question 918917: The equation of line q is 5y - 4x = 10. Write the standard form of the equation of the line that fits the following description:
parallel to q and passes through the point at (-15, 8)
Click here to see answer by MathLover1(20849)

Question 918975: What is the slope of 25x-15y=225? Thanks for your help.
Click here to see answer by ewatrrr(24785)

Question 918979: Please find the slope of a line perpendicular to the line 5x-7y=39. Thanks for your help.
Click here to see answer by ewatrrr(24785)

Question 919152: Please help. What is the slope between the points (4c,-18k) and (24c,-10k)? Thanks for your help.
Click here to see answer by Alan3354(69443)

Question 919225: What is 10 - 2y = 2?
Click here to see answer by MathLover1(20849)

Question 919319: Find the equation of a line passing through (5,5) and (2,3)
Click here to see answer by ewatrrr(24785)

Question 919361: Find the intercepts of the following problem:
(x+y)^2 + (4x-7y)^2 + 10=9
Click here to see answer by MathLover1(20849)

Question 919530: Write an equation in slope-intercept form of the line satisfying the given conditions.
Perpendicular to the line x - 4y = 4; containing the point (-4, 4).
Question 6 options:

a) y = -4x - 20

b) y = - x + 3

c) y = -4x - 12

d) y = x + 3

Click here to see answer by josgarithmetic(39617)

Question 919670: 2(3x+50)=6x-10
Click here to see answer by Fombitz(32388)

Question 919685: 6 years ago Sita was 3 times as old as Gita.after 12 years,Sita would be twice as old as Gita.how old are they now?
Click here to see answer by abhi26121991(3)

Question 919685: 6 years ago Sita was 3 times as old as Gita.after 12 years,Sita would be twice as old as Gita.how old are they now?
Click here to see answer by ewatrrr(24785)

Question 919602: 14(3.5)

Click here to see answer by Fombitz(32388)

Question 919866: if 5x - 3y = 7 and -3x - 5y = 23 what is the value of x?
my answer choices are:
A. (-1,-4)
B. (-4,-1)
C. -4
D. -1
I tried using substitution but I do not get any of the above answers so I am stuck.
Click here to see answer by richard1234(7193)

Question 919989: The coordinates below represent two linear equations.

How many solutions does this system of equations have?

Line 1
x y
�4 5
0 2

Line 2
x y
0 5
4 2

Click here to see answer by ewatrrr(24785)

Question 920029: Is the line for the equation y = 1 horizontal or vertical? What is the slope of this line? Select the best answer
Click here to see answer by ewatrrr(24785)

Question 920033: Write the equation of the line that is parallel to the line 4x - 3y = -12 and passes through the point (-3, 4)
Click here to see answer by Fombitz(32388)

Question 920050: The coordinates below represent two linear equations.

How many solutions does this system of equations have?

Line 1
x y
�6 3
3 6

Line 2
x y
�3 1
3 3

Click here to see answer by ewatrrr(24785)

Question 920053: Complete the equations of the system in slope-intercept form. Use a decimal for the slope if necessary.

Line 1
x y
�3 7
�2 5

Line 2
x y
0 5
2 1

Click here to see answer by ewatrrr(24785)

Question 920048: The coordinates below represent two linear equations.

How many solutions does this system of equations have?

Line 1
x y
�4 3
�2 4

Line 2
x y
0 8
2 6

A.

0

B.

exactly 1

C.

exactly 2

D.

infinitely many

Click here to see answer by stanbon(75887)

Question 920125: 5x-4y+z=9
y+z=15
Click here to see answer by Fombitz(32388)

Question 920219: what is slope intercept form

Click here to see answer by MathLover1(20849)

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, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250, 20251..20295, 20296..20340, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 27136..27180, 27181..27225, 27226..27270, 27271..27315, 27316..27360, 27361..27405, 27406..27450, 27451..27495, 27496..27540, 27541..27585, 27586..27630, 27631..27675, 27676..27720, 27721..27765, 27766..27810, 27811..27855, 27856..27900, 27901..27945, 27946..27990, 27991..28035, 28036..28080, 28081..28125, 28126..28170, 28171..28215, 28216..28260, 28261..28305, 28306..28350, 28351..28395, 28396..28440, 28441..28485, 28486..28530, 28531..28575, 28576..28620, 28621..28665, 28666..28710, 28711..28755, 28756..28800, 28801..28845, 28846..28890, 28891..28935, 28936..28980, 28981..29025, 29026..29070, 29071..29115, 29116..29160, 29161..29205, 29206..29250, 29251..29295, 29296..29340, 29341..29385, 29386..29430, 29431..29475, 29476..29520, 29521..29565, 29566..29610, 29611..29655, 29656..29700, 29701..29745, 29746..29790, 29791..29835, 29836..29880, 29881..29925, 29926..29970, 29971..30015, 30016..30060, 30061..30105, 30106..30150, 30151..30195, 30196..30240, 30241..30285, 30286..30330, 30331..30375, 30376..30420, 30421..30465, 30466..30510, 30511..30555, 30556..30600, 30601..30645, 30646..30690, 30691..30735, 30736..30780, 30781..30825, 30826..30870, 30871..30915, 30916..30960, 30961..31005, 31006..31050, 31051..31095, 31096..31140, 31141..31185, 31186..31230, 31231..31275, 31276..31320, 31321..31365, 31366..31410, 31411..31455, 31456..31500, 31501..31545, 31546..31590, 31591..31635, 31636..31680, 31681..31725, 31726..31770, 31771..31815, 31816..31860, 31861..31905, 31906..31950, 31951..31995, 31996..32040, 32041..32085, 32086..32130, 32131..32175, 32176..32220, 32221..32265, 32266..32310, 32311..32355, 32356..32400, 32401..32445, 32446..32490, 32491..32535, 32536..32580, 32581..32625, 32626..32670, 32671..32715, 32716..32760, 32761..32805, 32806..32850, 32851..32895, 32896..32940, 32941..32985, 32986..33030, 33031..33075, 33076..33120, 33121..33165, 33166..33210, 33211..33255, 33256..33300, 33301..33345, 33346..33390, 33391..33435, 33436..33480, 33481..33525, 33526..33570, 33571..33615, 33616..33660, 33661..33705, 33706..33750, 33751..33795, 33796..33840, 33841..33885, 33886..33930, 33931..33975, 33976..34020, 34021..34065, 34066..34110, 34111..34155, 34156..34200, 34201..34245, 34246..34290, 34291..34335, 34336..34380, 34381..34425, 34426..34470, 34471..34515, 34516..34560, 34561..34605, 34606..34650, 34651..34695, 34696..34740, 34741..34785, 34786..34830, 34831..34875, 34876..34920, 34921..34965, 34966..35010, 35011..35055, 35056..35100, 35101..35145, 35146..35190, 35191..35235, 35236..35280, 35281..35325, 35326..35370, 35371..35415, 35416..35460, 35461..35505, 35506..35550, 35551..35595, 35596..35640, 35641..35685, 35686..35730, 35731..35775, 35776..35820, 35821..35865, 35866..35910, 35911..35955, 35956..36000, 36001..36045