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

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Question 327889: Solve by the substitution method
8m + n = 5
m - 9n = 28
Click here to see answer by mananth(12270)

Question 327903: Solve by elimination method

x + 6y = 55
-x + 3y = 17
Click here to see answer by stanbon(57243)

Question 327922: The perimeter of a rectangle is 134m. The length is 7m more than twice the width. Find the Dimensions.
What is the length?
What is the Width?
Click here to see answer by mananth(12270)

Question 327930: 3y-1 < 8y-3
use set builder notation to describe the complete solution?? please help
Click here to see answer by rapaljer(4667)

Question 327939: 47 - (2x + 5) less than or equal too 3(x+2)+ x
use set-builder notation to describe the complete solution
Click here to see answer by mananth(12270)

Question 327917: For children between ages 6 and 10, height y in (inches) is frequently a linear function of age t ( in years). The height of certain child is 48 inches at age 6 and 50.5 inches at age 7.
a) Express y as function of t.
b) Predict the height of the child at age 10.
Click here to see answer by Fombitz(13828)

Question 327942: Bayside insurance offers two health plans. Under plan A, Giselle would have to pay the first $100 of her medical bills, plus 40% of the rest. Under plan B, Giselle would pay the first $130, but only 20% of the rest. For what amount of medical bills will plan B save Giselle money? Assume she has over $130 in bills.

Click here to see answer by mananth(12270)

Question 328024: The perimeter of a rectangle is 196 inches. The length exceeds the width by 44 inches. Find the length and width???
Click here to see answer by rapaljer(4667)

Question 328035: Determine whether the ordered pair is a solution of the inequality.
(4,12); 3y - 4x > 8

Is the ordered pair a solution of the inequality?
Click here to see answer by Fombitz(13828)

Question 328040: Determine whether the given numbers are solutions of the inequality.
8, -14, -19, -2
y - 9 > 2y - 3

Is 8 a solution? yes or no?
Is -14 a solution?? yes or no?
Is -19 a solution?? yes or no?
Is -2 a solution?? yes or no?
Click here to see answer by solver91311(16868)

Question 328044: 0.7(7x+3) ≥ 1.8 - (x + 9)
Click here to see answer by nyc_function(2733)

Question 328077: Snookers Lumber can convert logs into either lumber or plywood. In a given day, the mill turns out three times as many units of plywood as lumber. It makes a profit of $30 on a unit of lumber and $40 on a unit of plywood. How many of each unit must be produced and sold in order to make a profit of $15300??

How many units of lumber and how many units of plywood are needed to be sold to reach the profit??
Click here to see answer by jessica43(140)

Question 328108: Write the equation in slope-intercept form: 2x + 3y = 18
Click here to see answer by Fombitz(13828)

Question 328112: y = 9x + 40
Click here to see answer by Fombitz(13828)

Question 328111: Write an equation in slope-intercept form of the line that passes through the point (-4, 1) and has a slope of -3/2
Click here to see answer by solver91311(16868)

Question 328031: Solve by the elimination method
0.3X - 0.2Y = 4
0.4X + 0.3Y = 49
--
23
Click here to see answer by Fombitz(13828)

Question 328258: what is the following system of equations by the addition method:
2x + y = 5 equation #1
3x - y = 10 equation #2
Click here to see answer by Fombitz(13828)

Question 328257: what is the following system of equations by the graphing method:
2x + y = 5 equation #1
-2x - y = 1 equation #2
Click here to see answer by Fombitz(13828)

Question 328256: what is the following system of equations by the addition method:
2x = y = 5 equation #1
3x - y = 10 equation #2
Click here to see answer by Fombitz(13828)

Question 328255: what is the following system of equations by the substitution method:
x = y = 6 equation #1
x + 2y = 6 equation #2
Click here to see answer by Fombitz(13828)

Question 328327: how do you graph this?
-3x+6y=36
-x+2y=-8
Click here to see answer by Fombitz(13828)

Question 328473: How do you do linear equations?
Click here to see answer by nyc_function(2733)

Question 328571: y = x³
Find y when x=(3) and (-3)

Click here to see answer by stanbon(57243)

Question 328449: Trains A and B are traveling in the same direction on parallel tracks. Train A is traveling at 40 miles per hour and train B is traveling at 48 miles per hour. Train A passes a station at 3:10 A.M. If train B passes the same station at 3:25 A.M, at what time will train B catch up to train A??

When will train B catch up to train A??
Click here to see answer by checkley77(12569)

Question 328606: This is the question that is on my homework... Select the graph from the choices below that is a solution to the following system of equations:
-3x +4y = 12
6x - 8y =16
I Cant put graphs up on here so can you please tell me how to solve this question and give somewhat of an algorithem on how you do these steps?
Thank you for your Time.
Click here to see answer by josmiceli(9658)

Question 328618: Please help, show work. thanks!
solve the system.
x+y=12
x-y=2
Click here to see answer by Alan3354(30983)

Question 328595: Complete the equation of the line L satisfying each of the following sets of geometric conditions by determining the value of b0 in the equation:
y = b1x + b0
L has slope of 3/4 and x-intercept of (-4,0)
Click here to see answer by Fombitz(13828)

Question 328724: what would de answer be for this system of equation, using substitution or elimination?
3x-2y=5
-6x+4y=7

Click here to see answer by stanbon(57243)

Question 328760: solve the system of equations graphically. y=3x-12
Click here to see answer by Fombitz(13828)

Question 328853: Solve the following system of equations for the unknown variables.
x + y = 12
x – y = –2
Click here to see answer by Fombitz(13828)

Question 329016: You have been hired by a group of anthropologists to sort out the data that they collected from a trip to Ja-Ji, a remote island in the south Pacific. The people of Ja-Ji do not permit outsiders to count them directly; so, the anthropologists had to collect all sort of other data to get to the population. They fear that they may have missed something and your job is to make that assessment, or better yet, use what they have to get the population of Ja-Ji. This is what their notes say:
People in Ja-Ji are either single or in monogamous unions. 10% of the adult population of Ja-Ji is homosexual and they are all in long term relationships. These homosexual unions constitute one fifth of the unions in Ja-Ji. There are 1,000 children, which constitute half of the single population of Ja-Ji.
HOW DO I SET THIS ONE UP?
Click here to see answer by scott8148(6628)

Question 329030: Q) Find the angle θ (in radians and degrees) between the lines. Round to three decimal places, if necessary.
6x + 2y = 9
–5x + 6y = 4
Click here to see answer by Fombitz(13828)

Question 329127: Use the substitution method to find all solutions of the system equations.
4. x^2 + y^2 = 25
y = 2x
6. x^2 + y = 9
x- y + 3 = 0
8. x^2 - y = 1
2x^2 + 3y = 17
Click here to see answer by Fombitz(13828)

Question 329268: Solve the system of equations by using substitution:
{ y=4-x }
{4x+3y=10}
Click here to see answer by solver91311(16868)

Question 329329: How do you solve:
(w+5)-(2w+5)=5
Click here to see answer by mananth(12270)

Question 329273: please Express in simplest radical form:
reduce radical to simplest term:
2sqrt(3) - 8sqrt(3)
Then add: -6sqrt(3)
Click here to see answer by coyparra@yahoo.com(2)

Question 329541: The sales representative informs you that there are 56 houses for sale with two floor plans still available. Use x to represent floor plan one and y to represent floor plan two. Write an equation that illustrates the situation.
x + y = 56
b. The sales representative later indicates that there are three times as many homes available with the second floor plan than the first. Write an equation that illustrates this situation. Use the same variables you used in Part a.

x + 3y = 56

c. Use the equations from Parts a. and b. of this exercise as a system of equations. Use substitution to determine how many of each type of floor plan is available. Describe the steps you used to solve the problem.
d. What are the intercepts of the equation from Part a. of this problem? What are the intercepts from Part b. of this problem? Where would the lines intersect if you solved the system by graphing?
Click here to see answer by stanbon(57243)

Question 329622: Simplify showing steps:
(2x)^-2(2y)^3(4x)
thank you
Click here to see answer by stanbon(57243)

Question 329620: Find the value of "a" if a line containing the point (a,-2a) has a y-intercept of 6 and slope of -2/3.
thank you
Click here to see answer by stanbon(57243)

Question 329621: Write the equation of the bisector of the segment joining the points with coordinates of (-3,4) and (5,-2)
thank you
Click here to see answer by stanbon(57243)

Question 329801: Help please!
I tried to solve these but I'm not sure if its correct.

4x – 3y = 1
X = 1 – y
4/7 and y = 3/7

8 x – 6y = 0
X + y = 134
x = 39/28 and y = 13/7

I'm also having trouble solving these. Can you please help? (you can use any convenient method)
-3 - 7z = 27,
-6x + y - 5z = `45
4x + 4y - 6z =0
x + 4y + z = 11
3x + 4y = 7
5x + 2y + 2z =19
-5X +5y + z = 8
9x + 8y + 9z = 116
x + 2y + 9z = 86
Thank you in advance!
Click here to see answer by edjones(7569)

Question 330006: x+y=15
x-y=-3
what is the solution?
is it consistent or inconsistent?
dependent or independent?
Click here to see answer by Fombitz(13828)

Question 330295: Solve the system of equations by the method of your choice. Are the equations independent, dependent, or inconsistent?
x + y=4 and x-y=5?
Thank you
Shelley
Click here to see answer by jim_thompson5910(28504)

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