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

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Question 68472: when do you know how to get the x intercept and the y intercept ?
thanks dianna

Click here to see answer by rmromero(383) About Me 

Question 68591: PLease help to solve
3/2x - 2/5y = 2
3x + 0.5y = 17

Click here to see answer by rkennedy(3) About Me 

Question 68657: It says use substitution to solve each system of equation
The Problem is
0.5x-2y=17 2x+y=104

Click here to see answer by rmromero(383) About Me 

Question 68677: find the point of intersection of f(x)=x+2 and g(x)=-x-4
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Question 68734: y=2x
x+y=12

Click here to see answer by tutorcecilia(2152) About Me 

Question 68860: A collection of quarters and dimes is worth $6.75. The number of dimes is 4 less than three times the number of quarters. How many of each are there?
I am confused as to how I would write this out, and solve it.
Please help.

Click here to see answer by rmromero(383) About Me 

Question 68912: Solve: 3(x – 2) – 2x = x – 6
I worked this problem out twice and the first time I got 0 and the second time I ended up with No solution. I need help because I do not know which one is correct and which one is not. Thanks
a)0
b)1
c)Identity
d)No Solution

Click here to see answer by rmromero(383) About Me 
Question 68912: Solve: 3(x – 2) – 2x = x – 6
I worked this problem out twice and the first time I got 0 and the second time I ended up with No solution. I need help because I do not know which one is correct and which one is not. Thanks
a)0
b)1
c)Identity
d)No Solution

Click here to see answer by tutorcecilia(2152) About Me 

Question 68913: Solve. 10(–x – 7) + 20 = –5(2x + 4)

(10-(x)+10-(7))+ 20 = -5(2x + 4)
(-10x-10*7)+ 20 = -5 (2x + 4)
(-10x-70) + 20 = -5 (2x + 4)
-10x-70 + 20 = -5 (2x + 4)
-10x-50 = -5 (2x + 4)
-10x-50 = -5 (2x)-5*4
-10x-50 = -5*2x-20
-10x-50 = -10x-20
-50 = -20
:
I know this is not right because I ended up with two answers. Can you see where I went wrong and tell me how to get the right answer for this equation. Thanks.








Click here to see answer by Earlsdon(6294) About Me 

Question 68968: =Yesterday, Manuel's electronics store sold several radios at $18.50 each and a few blank cassettes at $1 each. The difference in the number of these items sold was eight. If the total sales of radios and cassettes for the day were $265.00, how many of each item were sold? Use the addition method of solving systems.
Click here to see answer by checkley75(3666) About Me 

Question 68967: A rental car agency charges $16 per day plus 13 cents per mile to rent a certain car. Another agency charges $21 per day plus 7 cents per mile to rent the same car. How many miles will have to be driven for the cost of a car from the first agency to equal the cost of a car from the second agency?(round answer to the nearest hundreth of a mile.)Express the problems as a system of linear equations and solve using the method of your choice. Please help me. I have no clue!
Click here to see answer by checkley75(3666) About Me 

Question 68965: A total of $10,000 is invested in two funds paying 5% and 7% annual interest. The combined interest is $630. How much of the $10,000 is invested in each fund?
Click here to see answer by checkley75(3666) About Me 

Question 68975: find all solutions of the system.
x+2y=4
2x+4y=8

Click here to see answer by funmath(2933) About Me 

Question 68974: what are the two coordinates for the problem below:
3x+6y=6
2x-3y=4

Click here to see answer by checkley75(3666) About Me 
Question 68974: what are the two coordinates for the problem below:
3x+6y=6
2x-3y=4

Click here to see answer by funmath(2933) About Me 

Question 68996: please help me write the equation 3x+y=-4 in y-form by solving it for y
all you have to do is get y by itself to be in slope-intercept form...so you
3x+y=-4
-3x -3x
y=-3x-4

Click here to see answer by whatsmath?(5) About Me 

Question 68984: A SALAD CONTAINS X POUNDS OF HAM AND Y POUNDS OF CHICKEN. THERE ARE AT MOST 4 POUNDS OF HAM AND CHICKEN IN THE SALAD. WRITE A SYSTEM OF INEQUALITIES TO REPRESENT THIS SITUATION.
Click here to see answer by stanbon(75887) About Me 

Question 69080: It says to write an equation in standard form for each line. I'm having trouble figuring out this one problem: the line crosses the x-axis at x=-3 and the y-axis at y=6. I was just wondering if anyone could tell me how to write an equation for this?
Click here to see answer by Earlsdon(6294) About Me 

Question 69083: Is the ordered pair a solution of the solution?
(1,19)
y<_7x-13
y>3x+6

Click here to see answer by Nate(3500) About Me 

Question 69162: Graph the set {x|<_ x <_ 5 on a number line (-7 through 7). Also write the set using interval notation


NOTE: <_ means less than or equal to.

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

Question 69191: Please help me solve this problem (2/3)(x+9)=x+5
This is from a worksheet I have in my college algebra class. I tried to solve it and this is what I come up with: 2/3x+9 2/3 =x+5
-2/3x -2/3
9 2/3=1/3x+5
-5 -5
4 2/3=1/3x x=14/3

Click here to see answer by checkley75(3666) About Me 

Question 69189: A total of $10000 is invested in two funds paying 5% and 7% annual interest. The combined annual interest is $630. How much of the 10000 is invested in each fund?
Click here to see answer by checkley75(3666) About Me 

Question 69182: suppose you just have enough dimes and quarters to pay for a loaf of bread and a quart of milk, which cost $3.45. you have a total of 15 dimes and quarters.
let d = the number of dimes you have
let q = the number of quarters you have
a. write a system of equations that models the information given above.
b. solve the system for the number of dimes and quarters you have.

Click here to see answer by checkley75(3666) About Me 

Question 69172: six pears and three apples cost $3.90. two pears and five apples cost $3.30. how much does one pear cost? write one equation for each situation and solve the system of equations.
let p = the cost of one pear
let a = the cost of one apple
a. write a system of equations that can be used to determine the cost of pears and apples.
b. determine the cost of one pear and one apple.

Click here to see answer by checkley75(3666) About Me 

Question 69180: your faimly likes to go to baseball games. at one game your faimly bought 5 soft drinks and 5 hot dogs for $22.25. at the next game your faimly attended the bought 4 soft drinks and 3 hot dogs for $14.50. what is the cost of one soft drink and one hot dog?
let s = the cost of one soft drink
let h = the cost of one hot dog
a. write a system of equations modeling the situation described above.
b. solve the system for the cost of one soft drnik + one hot dog.

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 69283: I am having difficulty with this problem - please help me if you can. The chapter is Solving Linear Systems by Linear Combinations (substitution not allowed).
2q = 7 - 5p
4p - 16 = q

I am using the 5 step formula - arrange like terms in columns, obtain coefficients that are opposites for one variable, add equations & eliminate one variable & solve, etc... I did nine other problems this way and solved them. I don't see what I'm doing wrong with this one. Any help will be appreciated.

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

Question 69284: This is Solving Linear Systems by Linear Combinations (substitution not allowed). This is the second of two problems I have not been able to solve. Please help me if you can.
0.1g - h + 4.3 = 0
3.6 = -0.2g = h
Again, I am using the five step method to solve. Thank you.

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

Question 69351: How would I solve this by substitution
6x-3y=6
y=2x+5

Click here to see answer by checkley75(3666) About Me 
Question 69351: How would I solve this by substitution
6x-3y=6
y=2x+5

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

Question 69406: please help me if the problem: f(x)=x-4 and g(x)= x^2+7x-5...
6.f o g 7. g o f

Click here to see answer by tutorcecilia(2152) About Me 

Question 69404: i have to find the distances between the two given points (5,1)and (8,5)
Click here to see answer by tutorcecilia(2152) About Me 

Question 69433: can you help me solve: f(x)= x-4 and g(x)=x+2
1. f-g 2. f*g

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

Question 69177: there were 1500 people at a high school football game. student tickets were $2.00 and adult tickets were $3.50. the total receipts for the game were $3825. how many students bought tickets?
let a = the number of adult tickets purchased
let s = the number of student tickets purchased.
a. write a system of equations that can be used to determine the number of adult and student tickets purchased.
b. determine the number of adults tickets sold and the number of student tickets sold.

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

Question 69504: i have to find the midpoint of the line between the two given points....
1. (10,4)and(2,6) 2. (-2,-1)and (-8,6)

Click here to see answer by stanbon(75887) About Me 
Question 69504: i have to find the midpoint of the line between the two given points....
1. (10,4)and(2,6) 2. (-2,-1)and (-8,6)

Click here to see answer by Nate(3500) About Me 

Question 69431: i have to solve the problems using system of equations..
1.x+y=6 2. 2x-3y=-13
y=2x y=2x+7

Click here to see answer by mathick(4) About Me 

Question 69534: Is this ordered pair a solution to these equations
(2,3)
the equations are -2x+3y=5 and 3x+2y=12

Click here to see answer by jim_thompson5910(35256) About Me 

Question 69635: what is the solution of the following system of linear equations?
2x+3y=5
-4x-6y=6

Click here to see answer by checkley75(3666) About Me 

Question 69636: What is the soultion of the following system of linear equations?
x+2y=5
3x-15=-6y

Click here to see answer by tutorcecilia(2152) About Me 

Question 69708: y+2=5/3 (x+6)
Click here to see answer by stanbon(75887) About Me 

Question 69721: A chemist has 2 alloys--one containing 20% gold and 25% lead, the other containing 30% gold and 50% lead. How many grams of each is needed to make an alloy containing 60 grams of gold and 90 grams of lead?
Please solve using 2 variables and 2 equations.
I tried these 2 equations, but I did not get the correct answers which I believe to be 180 and 80.
0.2x +0.3y = 60
0.25x+0.5y = 90
I may need an equation using "x+y" to tie it all together...Please help because this is driving me crazy!!!

Click here to see answer by josmiceli(19441) About Me 

Question 69768: When doing the problems i got really lost! I understood how to do the "Elimination Using Addition and Subtraction" problems but when trying to do the "Elimination Using Multiplication" problems they didn't make no sense so maybe if you do one for me it will help me please!
2x-y=-1
3x-2y=1

Click here to see answer by checkley75(3666) About Me 

Question 69638: solve: 2x%28x-1%29%3C+-3%282-2x%29
Click here to see answer by stanbon(75887) About Me 

Question 69798: Find the equation of the line through (6,-5) and parallel to 4x - 2y + 7 = 0
Click here to see answer by checkley75(3666) About Me 

Question 69808: If you have 2 inequalities such as
y>7
6x-y<-1
how do you know where do shade on a graph for those inequalities, and how do you find the exact intersection point?

Click here to see answer by Edwin McCravy(20056) 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