Questions on Algebra: Expressions involving variables, substitution answered by real tutors!

Algebra ->  Algebra  -> Expressions-with-variables -> Questions on Algebra: Expressions involving variables, substitution answered by real tutors!      Log On

Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   


Tutors Answer Your Questions about Expressions-with-variables (FREE)


Question 102139: Hello,
I have the following I cannot solve. Can you please provide me with step by step directions as to how we get the solution? Thank you so much.
4x^2-9/4x^2+12+9 divided by 6x-9
Thanks again for any help provided.

Click here to see answer by ankor@dixie-net.com(6691) About Me 

Question 102371: Factor completely:
3(2y+3)^2+23(2y+3)-8
I started by using the substitution method, let u = 2y+3
3u^2+23u-8
(3u+24)(u-1)
{3(2y+3)+24}{(2y+3)-1}
(6y+6+24)(2y-2)
(6y+30)(2y-2)
{6(y+5)}(2(y)}
Now I'm stuck. Please help.

Click here to see answer by bucky(1732) About Me 

Question 102425: factor: (2x+5)^2-(2x+5)-12
I used the substitution method:
let u=2x+5
u^2-u-12
(u-4)(u+3)
{(2x+5)-4}{2x+5)+3}
(2x+5-4)(2x+5+3)
(2x+1)(2x+8)
2(2x+1)(x+4)
Is this correct?

Click here to see answer by stanbon(26259) About Me 
Question 102425: factor: (2x+5)^2-(2x+5)-12
I used the substitution method:
let u=2x+5
u^2-u-12
(u-4)(u+3)
{(2x+5)-4}{2x+5)+3}
(2x+5-4)(2x+5+3)
(2x+1)(2x+8)
2(2x+1)(x+4)
Is this correct?

Click here to see answer by edjones(3292) About Me 

Question 102384: 3-4q=10q+10
Click here to see answer by jim_thompson5910(13787) About Me 

Question 102321: how do you solve two step equations? i am in ninth grade, and to tell you the truth, i am not very good at math but i do have a b- for a grade. my name is nikol so if you can help me that would be great!!! thanks
Click here to see answer by elima(1433) About Me 

Question 102639This question is from textbook algebra 1
: I need help on figuring out how to find the equation and solving it to get the answer. The problem is: Abraham Lincoln's 1863 Gettsyburg Address refers to the year 1776 as "four score and seven years ago." Write an equation and solve for a score.This question is from textbook algebra 1

Click here to see answer by jim_thompson5910(13787) About Me 

Question 102664This question is from textbook
: Please help!
The problem is:
Solve the system by using the substitute method. Determine whether the equations are independent, dependent or inconsistent.
Eq 1 states: 3x + 5y = 25
Eq 2 states: x -2y = -10
This question is from textbook

Click here to see answer by jim_thompson5910(13787) About Me 

Question 102755: a) Perform the indicated operation. Reduce each answer to lowest terms.
Frist one: 4/3n + 2/n+1 + 2/n^2+n

B)Simplify each complex fraction. Reduce each answer to lowest terms.

Frist one: 1/3 + 1/y / y/3-3/y

Second one: ab+b^2/4ab^5 / a+b/6a^2b^4

c)Solve each equation:

Frist one: 2+4/2 = a+4/a

Second one: 3/x-2 - 5/x+3 = 1/x^2+x-6

Can somoene please help me with the above. thank you so much for any help you can provide me with

Click here to see answer by stanbon(26259) About Me 

Question 102752: A) Find the LCD, covert each rational expression into an equivalent expression with the LCD as the denominator.
4/x-4 , 5/6-a


B)If the given expressions were used as denominators of rational expressions, then what would be the LCD for each group of denominators? See example 3
3/4b^2-0 2b/2b+3 -5/2b^2-3b


Any help with the above two would greatly appreciated. I am trying to better understand how to do these and my text book is of no help.

Click here to see answer by stanbon(26259) About Me 

Question 102767: I would really appericiate if you wouls help me on this problem...
Two thirds of a number and three is the same as 3 multiplied by 1 less than twice the number. What is the number?

Thank you very much

Click here to see answer by Nate(3495) About Me 

Question 102756This question is from textbook
: Please help with the following problem:
Solve the system by addition method:
Eq 1 states 3x + 3y = 33
Eq 2 states 5x - 2y = 27
Please show work.
Thank you
This question is from textbook

Click here to see answer by jim_thompson5910(13787) About Me 

Question 102700: Multiply the following:
(-4n+3p^4)^2
Thank you for your help on this one.

Click here to see answer by elima(1433) About Me 

Question 102704: Factor completely:
b^3m^3-14b^2m^2+49bm
Here are my options, which do not help me at all:(
a) bm9b^2m^2-14bm+49)
b) bm(bm-7)(bm+7)
c) m(b^3m-7b^2)
d) bm(bm-7)^2
Please help me understand this a little better. Thank you, thank you.

Click here to see answer by elima(1433) About Me 

Question 102857: Show a complete solution to each problem.

Word Problem#1
Big plane. At full throttle a light plane flies 275 miles against the wind in the same time it flies 325 miles with the wind. If the plain flies at 120 mph at full throttle in still air, then what is the wind speed?

Word Problem #2
Filling a tank. A water tank has an inlet pipe and a drain pipe. A full tank can be emptied in 30 minutes if the drain is opened and an empty tank can be filled in 45 minutes with the inlet pipe unopened. If both pipes are accidentally opened when the tank is full, then how long will it take to empty the tank?


Thank you for any help you can provide me with. !!!!!!!!!

Click here to see answer by stanbon(26259) About Me 

Question 102859: Problem #1
At a well known university ¼ of the undergraduate students commute and 1/3 of the graduate students commute. 1/10 of the undergraduate student drive more than 40 mils daily and 1/6 of the graduate students drive more than 40 miles daily. If there are twice as many graduate students then what fractions of the commuters drive more than 40 miles daily?

Please help me with the above. Thank you so much!!!!!!!!!!

Click here to see answer by ankor@dixie-net.com(6691) About Me 

Question 103029: if i have a problem like this
-3(x+5)=3(x-1) how would i slove it and check it the check part is what i dont understand how to do it

Click here to see answer by doukungfoo(195) About Me 
Question 103029: if i have a problem like this
-3(x+5)=3(x-1) how would i slove it and check it the check part is what i dont understand how to do it

Click here to see answer by edjones(3292) About Me 
Question 103029: if i have a problem like this
-3(x+5)=3(x-1) how would i slove it and check it the check part is what i dont understand how to do it

Click here to see answer by stanbon(26259) About Me 

Question 103049: A person has quarters, dimes, nickels, and pennies, with a total value of $3.86. The number of nickels is twice the number of quarters. The number of quarters is two less than the number of dimes. There are 40 coins altogether. Write and solve an equation to find the number of each coin.
Please show all work so i can learn how to solve this for the test tommorow.

Click here to see answer by scott8148(3382) About Me 

Question 103122: If it takes Ron to do a job alone in 3 days and his assistant 6 days alone, how many days would it take them if they did it together?
I know I need to break it down per day but I can't figure it out

Click here to see answer by stanbon(26259) About Me 

Question 103197This question is from textbook
: 2[5(w+3)-(w+1)]=3(1+w) please help me solve.
Thanks,
CJ
This question is from textbook

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

Question 103207: How do you solve?

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

Question 103237: It's been a long time since I've done Algebra and I don't know how to help my daughter with this one....
The three most populous countries of the world are China, India, and the Soviet Union, with a combined population of 1,650 million. Two hundred million more people live in China than in India, and the combined population of India and the Soviet Union is 50 million more than that of China. How many people live in each country.
I'd like to see how this is written out in equation form....not just get the answer.

Click here to see answer by stanbon(26259) About Me 

Question 103236: It's been a long time since I've done Algebra and I don't know how to help my daughter with this one....
A banana contains 3 more milligrams (mg) of calcium than an apple and 40 mg of calcium less than an orange. How much calcium is there in an orange if it contains the same amount as 5 apples and a banana.
I'd like to see how this is written out in equation form....not just get the answer.

Click here to see answer by stanbon(26259) About Me 
Question 103236: It's been a long time since I've done Algebra and I don't know how to help my daughter with this one....
A banana contains 3 more milligrams (mg) of calcium than an apple and 40 mg of calcium less than an orange. How much calcium is there in an orange if it contains the same amount as 5 apples and a banana.
I'd like to see how this is written out in equation form....not just get the answer.

Click here to see answer by scott8148(3382) About Me 
Question 103236: It's been a long time since I've done Algebra and I don't know how to help my daughter with this one....
A banana contains 3 more milligrams (mg) of calcium than an apple and 40 mg of calcium less than an orange. How much calcium is there in an orange if it contains the same amount as 5 apples and a banana.
I'd like to see how this is written out in equation form....not just get the answer.

Click here to see answer by edjones(3292) About Me 

Question 103256: Translate to a system of equations and solve:
The sum of two numbers is 30. Their difference is 40. Find the numbers

Click here to see answer by HyperBrain(694) About Me 

Question 103302: How do you write a variable expression for these word phrases:
The value in cents of n nickels
The value in cents of d dimes and p pennies
The value in cents of w dollars
The value in dollars of y cents
The next whole number following a whole number w

Click here to see answer by HyperBrain(694) About Me 

Question 103459: g(x) = 5x – 2, find g(3a)
Help me please!!

Click here to see answer by jim_thompson5910(13787) About Me 

Question 103414: there are 392 students in a school.Of these,3/8 are on an athletic team.
How man students play are on a team?

Click here to see answer by elima(1433) About Me 

Question 103451: hey i need help how do u do this problem can u plz help plz this problem
6-b=5b+30 and other can u plz show me how to do this

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

Question 103573This question is from textbook prentice hall
: SOLVE.
25. 7 1/2x - 1/2x = 3 3/4x + 39
This question is from textbook prentice hall

Click here to see answer by edjones(3292) About Me 

Question 103636: x=1/y+2 for y

Click here to see answer by Fombitz(2113) About Me 

Question 103637: Consider the following formula:
2S+T^2
R= ------
3
Solve for S:

Click here to see answer by ankor@dixie-net.com(6691) About Me 

Question 103724: can someone help me with this problem using the elimination method.It's from my textbook
2x-3y=0
2x+6y=3
thanks.

Click here to see answer by scott8148(3382) About Me 

Question 103784: 6-y+5y-6y
Click here to see answer by jim_thompson5910(13787) About Me 

Question 103992: The problem is.
s= s+5 over -9

Click here to see answer by jim_thompson5910(13787) About Me 

Question 104008: Hi,
how can I solve problems that have variables in both sides?
for example 25y/36 = 33/2y

Click here to see answer by stanbon(26259) About Me 
Question 104008: Hi,
how can I solve problems that have variables in both sides?
for example 25y/36 = 33/2y

Click here to see answer by edjones(3292) About Me 

Question 104068:
The distance between Buffalo, New York and Chicago, Illinois is 600 Miles. On a U.S. road atlas, this distance is represented by 10 inches. On the same atlas, the distance between Chicago and Denver, Colorado is 18 inches. What is the distance between Chicago and Denver?

Click here to see answer by elima(1433) About Me 

Question 104155: Hello! I'm having problems with substitution and for the following problem i keep getting X=7 y=4 and z=1. I thought this made sense but my answer sheet says it should be x=2 y=1 and z=1. Could you show me how its done so i can compare it to the way i've been trying?
here's the equation and thank you!!!
-3x-3y+2z=-7
z=1
-2x-3y+z=-6

Click here to see answer by stanbon(26259) About Me 

Question 104175: 3b-13+4b=7b+1
Click here to see answer by jim_thompson5910(13787) About Me 

Question 104174: Hi! I'm stumped on this last question on my homework. It's substitution and for some reason i can't figure it out and i kepe getting different answers for the variables. Could you help me please? I don't think i can figure this one out.
x+y+3z=-4
-x-y-2z=5
2x-z=-3
thanks!!!

Click here to see answer by scott8148(3382) About Me 

Question 104225This question is from textbook Algebra I
: A CD costs $3.50 more than a tape. Write an expression for the total cost of 1 CD and 1 tape. This question is from textbook Algebra I

Click here to see answer by jayanthihemkos@yahoo.com(87) 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