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

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Question 130898: Salvador's fruit Mart sells variety packs. The small pack contains three babanas, two apples., and one orange for $ 1.80. The medium pack contains four babanas, three apples, and three oranges for $ 3. 05. The family size contains six bananas, five apples, and four oranges for $4.65. What price should Salvador charge for his lunch-box special that consists of one banana, one apple, and one orange?
Click here to see answer by fners(16)

Question 130896: HELP! Ana, Bob, and Chris will not disclose their weights but agree to be weighed in pairs Anna and Bob together weigh 226 pounds. Bob and Chris together weigh 210 pounds. Anna and Chris together weigh 200 pounds. How much does each student weigh?
Click here to see answer by fners(16)

Question 131370: If y - x = -3 and 4x + y = 2, then what does x equal?
Click here to see answer by TakeATuition.com(57)

Question 131556: Solving Linear Systems:
Use substitution to solve the linear system. Then check your solution.
x - 2y = 9
1.5x + 0.5y = 6.5

I understand how to solve the first equation, but I don't understand how to substitute the x answer into the second equation to be able to find the value of y.
Click here to see answer by solver91311(16868)

Question 131557: Solving Linear Equations:
You are selling tickets for a high school play. Student tickets cost $4 and general admission tickets cost $6. You sell 525 tickets and collect $2,876. How many of each type of ticket did you sell.

First I said x = student tickets and y = general admission tickets, but then I got lost.
Click here to see answer by solver91311(16868)

Question 131643: i need a definition of slope and the only thing that the webs tell me is how to do it, and i need a definition
Click here to see answer by checkley71(8403)

Question 131815: Solving Linear Equations:
Use linear combinations to solve the system of linear equations.

t + r = 1
2r - t = 2
Click here to see answer by ntnk(54)

Question 131837: Factor completely:
x^3 – 2x^2 + 6x – 12
. Factor completely:
x^2 + 17x + 16
Factor completely:
8x^2 + 6x – 5

Click here to see answer by stanbon(57246)

Question 131837: Factor completely:
x^3 – 2x^2 + 6x – 12
. Factor completely:
x^2 + 17x + 16
Factor completely:
8x^2 + 6x – 5

Click here to see answer by edjones(7569)

Question 131817: Arranging Like Terms:
Use linear combinations to solve the system of linear equations.

3b + 2c = 46
5c + b = 11

Do I need to put the bottom equation into slope intercept form, y = mx + b?
Click here to see answer by solver91311(16868)

Question 131812: how could i solve this linear equation using a combination method
4x-3y=11
3x+2y=-13

Click here to see answer by bucky(2189)

Question 131874: Factor the trinomial. Factor out any common monomials first (including -1 if necessary).
-3y^2 + 33y -84
Factor the polynomial.
4,176^2 -29
Factor the polynomial.
9x^2 - 117x +270

Click here to see answer by checkley71(8403)

Question 131808: Solving Linear Systems:
Use linear combinations to solve the system of linear equations.

3a + 9b = 8b - a
5a - 10b = 4a - 9b + 5

Click here to see answer by priya_2685(3)

Question 132010: Your math teacher tells you that next week's test is worth 100 points and contains 38 problems. Each problem is worh either 5 points or 2 points. Because you are studying systems of linear equations, your teacher says that for extra credit you can figure out how many problems of each value are on the test. How many of each value are there?
Click here to see answer by josmiceli(9661)

Question 132032: Comparing Methods:
Solve the linear system using all three methods on page 418.

3x - y = 3
-x + y = 3

I have the answer (3,6)
But I don't understand how to graph it.
Which is the first method to use, graphing.
Click here to see answer by stanbon(57246)

Question 132034: Choosing A Method:
Solve the linear system.

8x + 9y = 42
6x - y = 16

I can get my first equation to equal 42 with the coordinates (2/5/23,2/16/23) and (1/20/31,3/19/93)
But I can't get either of those coordinates to fit in the bottom equation.
Click here to see answer by bucky(2189)

Question 132037: use the graphing method to solve the linear system and tell how many solutions the system has
x-7y=10
-6x+4y=-22
Click here to see answer by jim_thompson5910(28504)

Question 132198: Kay spends 250min/wk excercising. Her ratio of time spent on aerobics to time spent on weight training is 3 to 2. How many miunutes per week does she spend on aerobics? How many hours per week does she spend on weight training?
Click here to see answer by josmiceli(9661)

Question 132197: The math club and the science club had fundraisers to buy supplies for a hospice. the math club spent $135 buying 6 cases of juice and 1 case of bottled water. The science club spent $110 buying 4 cases juice and 2 cases bottled water. How much did a case of jucie cost? How much did a case of water cost?
Click here to see answer by josmiceli(9661)

Question 132471: Y=5X+5
Y=15X-1

Click here to see answer by jim_thompson5910(28504)

Question 132507: i dont understand

Click here to see answer by jim_thompson5910(28504)

Question 132508: what is 4x-y-7=0 written in standard form with interger co efficients

Click here to see answer by jim_thompson5910(28504)

Question 132598: If a certain positive number is added to 4 times the reciprocal of 10 less than the number, the result is 5. What is one of the numbers?
a. -6
b. -10
c. -9
d. 4
Click here to see answer by ptaylor(2048)

Question 132639: how do you write the slope is 3; the y-intercept is -2. in slope-intercept form

Click here to see answer by mathispowerful(115)

Question 132813: When solving a linear inequality, do you always need to solve for y? Why or why not?
Click here to see answer by solver91311(16868)

Question 132895: solve the system of equations by the elimination method
{-x-2y=-4
5x+10y=8
Click here to see answer by jim_thompson5910(28504)

Question 132893: I need help solving this equation using the elimination method.

Click here to see answer by jim_thompson5910(28504)

Question 129270: I am trying to learn the substitution method.
I do not understand the steps.
Here is my problem;
2x-3y = 12
x = 4y + 1
Click here to see answer by brikay0299(3)

Question 129270: I am trying to learn the substitution method.
I do not understand the steps.
Here is my problem;
2x-3y = 12
x = 4y + 1
Click here to see answer by jim_thompson5910(28504)

Question 133010: I can't figure out what the system x=y-4.2 and 2x-3y=-9 can be solved as.
Click here to see answer by jim_thompson5910(28504)

Question 133058: I am having problems with the following system of equations. The elimination method is supposed to be used, and the solution is to be in the form of integers or fractions.
.03x-0.2y=4
.04x+0.5y=63/19
Thanks!
Stephanie
Click here to see answer by vleith(2825)

Question 133069: Please solve
y-(9y-8)=5-2y-3(2y-3)+29
Click here to see answer by jim_thompson5910(28504)

Question 133336:
Could you please help me solve system of equations
5x + 3y =5(4-x) AND 2x - 5y = -(y + 11)/2
Click here to see answer by checkley71(8403)

Question 133399: Could someone please help me with this problem. I need to find the equation of the line parallel to 2y = -x + 3 which passes through (0,4)

My solution was to simplify 2y = -x + 3
So I tried 2y/2 = -x/2 + 3/2
so I came up with y = -x/2 + 3/2 but I am yucky with fractions. Could someone tell me if I am on the right page or not?
Click here to see answer by stanbon(57246)

Question 133406: Okay could I please get help with this one. I've to a certain point and have gotten stuck. I need to find the equation of a line that passes through points
(0,2) and (4,4)
This is what I have done so far.
first to find the slope I used m = 4 -2/4-0
The intercept would be 2/4
now for the point slope of the line I used y-2 = 2/4 (x + 0)
y -2 = 2/4x + 2/4
y-2 + 2 = 2/4x + 2/4 + 2
y = 2/4x + this is where I have gotten lost
I would appreciate the help
Click here to see answer by jim_thompson5910(28504)

Question 133426: What is the slope of the line x=2?
Click here to see answer by checkley71(8403)

Question 133469: if 1ST is one tile and 2nd is three tiles , 3rd is five tiles ,4th is seven tiles. write an equation for the number of tiles,t, needed to make the nth figure.
Click here to see answer by vleith(2825)

Question 133457:
Could someone please help me solve the system of inequalities
5(-x+1)+6<=6 and 5(x -1) + 6 <=6?
Thanks in advance
Click here to see answer by checkley71(8403)

Question 133455:
Could someone please help me with the slope intercept equation of the line that contains points (5,17) and (9,13?

Click here to see answer by checkley71(8403)

Question 133485: I would love to have some help with solving this system of equations using the substitution method. Thanks!

x + y = 2
x = 4y + 5

Click here to see answer by oscargut(891)

Question 133485: I would love to have some help with solving this system of equations using the substitution method. Thanks!

x + y = 2
x = 4y + 5

Click here to see answer by solver91311(16868)

Question 133477: I need some assistance with the following word problem please.

On Tuesday the weather in Winston, ND, was –2 degrees F. That night the temperature dropped another 17 degrees F. During the day on Wednesday the temperature rose 11 degrees F to reach that day’s high. What was the high temperature on Wednesday?

Click here to see answer by cuteminiming(5)

Question 134310: I have been having alot of trouble with this question. I have to find out what numbers x and f. This is the problem.
2(F+8)-3x=-12.
So far i have this much done.
2(F+8)-3x=-12
2F+16-3x=-12
Please help me out with this problem.
Click here to see answer by MathLover1(6622)

Question 133070: Please solve
-5/6x < or equal to 3/4 +8/3x
Click here to see answer by Juhi(44)

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