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

Tutors Answer Your Questions about Linear-systems (FREE)

Question 117409: given f(x)=3x+3, find f(a+1)
Click here to see answer by jim_thompson5910(28536)

Question 117414: One number is 12 more that another . The sum of the smaller number and twice the larger number is 39. Find the larger number.
Click here to see answer by edjones(7569)

Question 117399: One day, the temperature of at 2:00 AM was 43 degrees F, and by 3:00 PM the temperature was 56 degree F. What was the hourly rate of temperature change?
Click here to see answer by edjones(7569)

Question 117407: David has collected $6.50 in nickels and dimes. If she has 75 coins, how many of each coin does she have?
Click here to see answer by josmiceli(9664)

Question 117406: Adult tickets for a play cost $18 and child tickets cost $2. If there were 20 people at a performance and the theater collected $88 for ticket sales, how many childern attended the play?
Click here to see answer by josmiceli(9664)

Question 117398: A plane took 1 hour longer to travel 560 miles on the first portion of a flight than ir took to fly 480 miles on the second portion. If the speed was the same for each portion, what was the flying tine for the second part of the trip?
Click here to see answer by josmiceli(9664)

Question 117401: Find two consecutive integers such that the sum of 2 times the frist integer and 7 times second integer is 88
Click here to see answer by Fombitz(13828)

Question 117448: http://i147.photobucket.com/albums/r317/fizzero/graph.jpg

^that is the link to the graph.

what is the slope and verticle intercept for the line?
m=? and y-intercept=

what is the equation of the line?
using the least square method what is the correlation coefficient?
r= ??
Click here to see answer by Fombitz(13828)

Question 117487: dear godsend tutor first off i would like to thank you for helping me
now to business
my problem deals with solving eqautions in slope intercept form. this is the problem m=7/4x or 7 over 4-X ,b=2 Y=MX+b is slope intercept form this is what i got stuck on Y=7/4x+2 i have no idea what to do S.M!= save me !
sencerely raimius foulkes
Click here to see answer by solver91311(16872)

Question 117611: how do u solve y=0.45x+39.99 using substitution and elimination?
Click here to see answer by stanbon(57282)

Question 117402:
The length of a rectangle is 8 inches more than twice its widths. If the perimeter of the rectangle is 64 in, find the width of the rectangle.
Click here to see answer by checkley71(8403)

Question 117686: Solve the system by substitution.
x + 4y = -4
3x - 3y = -12
Thanks.
Click here to see answer by jim_thompson5910(28536)

Question 117844: Given the following inequality: -4(x-3)+ 5 <= 3x-7 (<= means the line underneath)
a. find the solution set for x
b. verify answer by checking on value inside the solution set and one value outside the solution set
c. How does the answer change in the above equation change if we change the <= to a =.
Thank you
Click here to see answer by bucky(2189)

Question 117946: Hi, this question is a multiple choice question from the pre-ACT test. I don't even know where to start with this one, I tried solving for x, and I tried to put the answer choices in the problem, but to no avail. I believe this is an identity but I can't figure out how to use that knowledge to solve this. This problem has frustrated me for 2 days.
In the equation, x^2 + 16x + a = (x + b)^2, a and b are constants. If the equation is true for all values of x, what is the value of a?
the answer choices are: 4, 8, 16, 64, or 256. The correct answer is 64 but I have no idea how to work out the problem to get that answer. Please help me figure this problem out.
thanks for your help!
Click here to see answer by Earlsdon(6287)

Question 117945: Solve the system by addition.
3x + y = –1
9x + 3y = –3

Click here to see answer by MathLover1(6625)

Question 118038: I have a word problem and not sure how to set up the equation:
A furniture company needs to ship 96 sofas and 57 chairs
They have small trucks and large trucks
Each small truck is designed to hold 4 sofas and 3 chairs
Each large truck is designed to hold 12 sofas and 6 chairs
Let x represent the number of small trucks needed
Let y represent the number of large trucks needs.
Write the system of equatin that represents this situation then solve.
So far I have x=4a+3b
y=12a+6b
Am I even on the right track? I am the worst at word problems and this one seems to have me stumped. Any help is greatly appreciated.

Click here to see answer by ankor@dixie-net.com(15645)

Question 117380: A photo shop has a self service photo center that allows you to make prints of pictures. Each sheet of printed pictures costs $8. One sheet has four 3x5 pictures and the other sheet has two 4x6 pictures. You want at least 16 pictures of any size and you are willing to spend up to $48. Write a system of inequalities that models the situation. Please help! Thanks.
Click here to see answer by kamallohia(18)

Question 117271: The cost per mont of making n number of wooden toys is C=3n+30. The income from selling n toys much the cpmpany make to get a profit (I greater than C).
Click here to see answer by checkley71(8403)

Question 118186: Graph the line -4x+5y=20
I forgot how to do this, could you help :)
Click here to see answer by sajankumar(7)

Question 118233: Mr. Santos traveled for 2 hours at a constant speed. Because of patholes, he reduce his speed by 7 km per hour for the next 2 hours. if he traveled 206 km, what was his speed on the first part of the trip?
Click here to see answer by josmiceli(9664)

Question 118241: x+3y=2
-x+y=1
Click here to see answer by jim_thompson5910(28536)

Question 118240: 2x-y=4
2x-y=3
Click here to see answer by jim_thompson5910(28536)

Question 118239: Solve each system by graphing

x=y+3
3x-2y=4
Click here to see answer by tutorcecilia(2152)

Question 118238: Solve each system by graphing
y=-2/3x
2x+3y=5

Click here to see answer by stanbon(57282)

Question 118262: (writing linear equations in point slope form)
write the point-slope form of an wquation of the line that passes through each pair of points.
(-1,-7),(1,3)
Click here to see answer by jim_thompson5910(28536)

Question 118261: (graphing linear equations)
Graph each wquation by using the x-and y-intercepts.
3x-y=3
Click here to see answer by jim_thompson5910(28536)

Question 118259: (writing linear equations in slope-intercept form)
Find the x and y intercepts of the graph of each equation.
4x-3y = 12
Click here to see answer by jim_thompson5910(28536)

Question 118341: White each equation in slope-intercept form.
#9 3.4
3x - 4y = 80
#21 3.4
find the equation of the line that goes through the given point and has the given slope. Write the answer in slope-intercept form.
(-1, -7), -6

Click here to see answer by bucky(2189)

Question 118419: Hello,
The answer has been provided, I am having dificulties showing how to arrive at the answers given. Can you please show how the problems are broken down for the desinated answers. Thank you

pg. 451
54) x+3y=2
-x+y=1
answer: (-1/4,3/4)

pg. 460
34)
3/7x + 5/9y =27
1/9x +2/7y =7
answer: (63,0)

pg. 461
50)
2y-x=3
x=3y-5
answer: (1,2)

pg. 510 Ch.8
18) -3x>0 and 3x-4 < 11

pg. 510 Ch.8
32) x > 3 or x < -3 ___-5____-4__-3__-2
__-1___0___1___2___3____4____5

)----------------------------------------(

pg 510 Ch. 8
50) -1 (< greater than or equal to) 3-2x<11
___-5____-4__-3__-2 __-1___0___1___2___3____4____5

(----------------------------------------]
30) 3 -1/2 absolute value l 1/2x - 4 l=2

62) 1/3 absolute value 2x-4 l < 1
___-5____-4__-3__-2 __-1___0___1___2___3____4____5

(--------------------)
pg. 521 Ch. 8
word problem
86) In July 1985 steve Cram of Great Britain ser a world record of 3
minutes 29.67 seconds for the 1500-meter race and a world record of 3
minute 46.31 seconds for the 1-miles race ( The Doubleday Almanac).
Suppose you know only that these teo events occurred 11 days apart and
that the 1500-meter record was set on July 16. Use an absolute value
equation to find the possible dates for the 1-miles record run.

pg. 529 Ch. 8
18) X > equal to or greater than -2 and x - 3y < 6

Click here to see answer by stanbon(57282)

Question 118448: I AM WORKING ON THE aMERICAN SCHOOL CIRICULUM AND I AM DOING A HOME TEST. I HAVE THE FOLLOWING WORD PROBLEM AND I CAN'T UNDERSTAND HOW TO GET THE TWO ANSWERS ASKED FOR.
A SAILBOAT TRAVELS 20 MILES DOWNSTREAM IN 3 HOURS.IT RETURNS IN 4 HOURS.FIND THE SPEED OF THE SAILBOAT IN STILL WATERAND THE RATE OF THE CURRENT.
I CAN FIGURE OUT THAT THE RATE OF THE BOAT GOING DOWN STREAM WOULD TRAVEL 6.23 MPH AND COMMING BACK IT WOULD TRAVEL 5 MPH. I CAN'T FIGURE OUT HOW THAT WILL HELP ME.
Click here to see answer by solver91311(16872)

Question 118439: pls help me...
Given the points P(-1,-2) Q(4,2) and R(1,m) in the coordinate plane. Find the value of m so that PR + RQ is minimum...thanks
Click here to see answer by solver91311(16872)

Question 118641: Can you assist me with the following problem
0.08x+0.5(x+100)=73.2
0.08x+0.5x+0.50=73.2
x=40

Thank you for your help
Click here to see answer by jim_thompson5910(28536)

Question 118641: Can you assist me with the following problem
0.08x+0.5(x+100)=73.2
0.08x+0.5x+0.50=73.2
x=40

Thank you for your help
Click here to see answer by Nellene Mae(3)

Question 118644: please help
raising rabbits. Before Roland sold two female rabbits half of his rabbits were female. If x represents his orginal number of rabbits, then
1/2x -2= 1/3(x-2).
Thank you
Click here to see answer by jim_thompson5910(28536)

Question 118686: Change the equation -2x + 8y =4 to slope intercept form.
Here are the steps I have preformed....
8y = 4 + 2y
y = 1/2 + 1/4
Is this right?
Click here to see answer by alexander164(3)

Question 118687: Give the equation y = -7x + 5 name 2 points you could use to graph the line. I'm not sure how to do this, and I'm kinda confused!
There is also another problem, it is Graph the line -4x + 5y = 20 I am not sure how to do this, but I think that the x-intercept is (-5,0) and the y-intercept (0,4)I am I right?
Click here to see answer by stanbon(57282)

Question 118723: Please help with this question--What is the x co-ordinate of the system of equations ? 2x + y = 3 and x - 2y = 4.
Thanking you
Gloria
Click here to see answer by MathLover1(6625)

Question 118723: Please help with this question--What is the x co-ordinate of the system of equations ? 2x + y = 3 and x - 2y = 4.
Thanking you
Gloria
Click here to see answer by m.hansen(16)

Question 118831: Rewrite the equation 4x/3 = 3y/4 +1 in function form by solving for y. Show all work.
Click here to see answer by MathLover1(6625)

Question 118852: Solve the following systems by graphing.
How do I graph the equation? For example:
3x-6y= 9
x-2y= 3
Do I graph the these numbers from the equations 6y and 9, 2y and 3? Or do I work out the equations and graph the numbers from the answer to the equations?
Thank you for your assistance.
Click here to see answer by jim_thompson5910(28536)

Question 119072: Write an equation of a line that contains the given point and is perpendicular to the given line.
2x+4y=-7; points(-3, -2)
Click here to see answer by Fombitz(13828)

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