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

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

Question 4946: 2x-5(x+3)=81
Click here to see answer by solver15(27)

Question 5394: what do you mean when you say -2x+14-4+-2-7+5
Click here to see answer by solver15(27)

Question 5474: i'm not quite sure how to solve this using substitution.
y=7-x
y-x=3
I got(2,9) but i'm not quite sure if thats the right answer.
Also, does the system have exactly one solution, or more?
Thanks for helping me!
Click here to see answer by solver15(27)

Question 451544: solvinging inequality...please help
-2(2x – 6) -4x > 3x – 10 + 9
Click here to see answer by robertb(4012)

Question 451551: A pool measuring 10 meters by 16 meters is surrounded by a path of uniform width. If the area of the pool and the path combined is 832 square meters, what is the width of the path?
Click here to see answer by pedjajov(51)

Question 451745: solve the system using substitution:
x+2y=6
3x-2y=2
Click here to see answer by stanbon(57377)

Question 451745: solve the system using substitution:
x+2y=6
3x-2y=2
Click here to see answer by ewatrrr(10682)

Question 451894: Help with this word problem please!
Bayside Insurance offers two health plan A, Giselle would have to pay the first $70 of her medical bills, plus 35% of the rest. Under plan B, Giselle would pa the first $200, but only 20% of the rest. For what amount of medical bills will plan B save Giselle money? Assume she has over $200 in bills.
Giselle would save with plan B if she had more than $? in bills.
(Round to the nearest whole number)
Thank you!!!

Click here to see answer by stanbon(57377)

Question 451898: How do I set this problem up:
If a farmer stand owner mixes apple juice and cranberry juice, how much should he charge if he mixes 8L of apple juice selling for 45 cents a liter with 10L of cranberrt juice sellling for $1.08 a liter.
Click here to see answer by mananth(12270)

Question 452224: 3x+9y=21
-8x=y=19
I am hoping to get some help with this, I am trying to solve by the substitution method, I am being told to solve the second equation first, but i do not understand why. Thank you so much for any help that you can give
Click here to see answer by stanbon(57377)

Question 452230: solve by substitution:
4x-y=7
2x-5y=-1
Click here to see answer by algebrahouse.com(1079)

Question 452249: Solve 3/r-3=3/5r
Click here to see answer by edjones(7569)

Question 452186: can you please help me figure out how to solve this problem (x+3)/(x+2) - (x)/(2-x)
Click here to see answer by edjones(7569)

Question 452357: how many pounds of salted nuts selling for $1.40 per pound should be mixed with 7 pounds of salted nuts selling for $2.40 per pound to obtain a mixture selling for $2.10 per pound ?
Click here to see answer by ankor@dixie-net.com(15657)

Question 452405: -y for y=-31
Click here to see answer by MathLover1(6634)

Question 452445: One canned juice drink is 25% orange juice;another is 10% orange juice. How many liters of each should be mixed together in order to get 15 liters that is 13% orange juice?
Click here to see answer by josmiceli(9690)

Question 452488: Solve by the substitution method.
2x+9y=20
x=8-4y
What is the solution of the system, if there is one?
A. The solution is ____.
B. There is no solution.
Click here to see answer by josmiceli(9690)

Question 452500: Algebraic expression:
1.Eight less than e
2.Five subtracted from t
3.The sum of x and y
4.one more than a number p
5.The product of v and 4 times i
Click here to see answer by nerdybill(6962)

Question 452355: how many gallons of a 60% alcohol solution must be mixed with a 70% gallons of a 17% solution to obtain a solution that is 50% alcohol?
Click here to see answer by ankor@dixie-net.com(15657)

Question 452532: (x+5)/x∙(x^2-4x)/(x^2+ x-20)
Click here to see answer by ajbaumann(2)

Question 452536: By checking work records, a plumber finds that Raul can plumb a house in 48hr. Mira can do the same job in 36hr. How long would it take if they worked together?
Click here to see answer by Alan3354(30993)

Question 452534: Find the LCM of these three terms: 9-4x^2,3+2x,3-2x
Click here to see answer by stanbon(57377)

Question 452476: Find the constant of variation k for the inverse variation where a = 2.5 when b = 7.
Click here to see answer by Alan3354(30993)

Question 453119: how do I solve -3x<9
Click here to see answer by Alan3354(30993)

Question 453153: im really stuck so can someone help me please :(?
solve the problem.

if y varies directly as x, and y=27 when x=4, find y when x=12

Click here to see answer by stanbon(57377)

Question 453152: im really stuck so can someone help me please :(?
solve the problem.

if y varies inversely as x, and y=27 when x=4, find y when x=12

Click here to see answer by stanbon(57377)

Question 453226: -7a+2/3(12a+15)-10 simplify
^
fraction
Click here to see answer by rfer(12662)

Question 453720: How is it that 9g^2=3g^2?
I don't how that works. They're like terms, but how are they equal?
Click here to see answer by Edwin McCravy(8909)

Question 453747: As you are leaving the community, you notice another new community just down the street. Because you are in the area, you decide to inquire about it.
a) The sales representative here tells you they also have two floor plans available, but they only have 50 homes available. The representative tells you that floor plan #1 sells for $150,000 and floor plan #2 sells for $100,000. She also mentions that all the available houses combined are worth $7 million. Write a system of equations that illustrates this situation. Use x to represent floor plan #1 and y to represent floor plan #2.
Need to translate into 2 linear equations
Click here to see answer by mananth(12270)

Question 453740: Suppose you are in the market for a new home and are interested in a new housing community under construction in a different city.
a) The sales representative informs you that there are two floor plans still available, and that there are a total of 72 houses available. The sales representative later indicates that there are five times as many homes available with the second floor plan than the first. Write a system of equations that illustrates this situation. Use x to represent floor plan #1 and y to represent floor plan #2.

Hint: Translate the problem into two linear equations by identifying keywords that represent a mathematical operation or symbol.

b) Use the system of equations from part 1a and solve this system using the substitution method to determine how many of each type of floor plan is available. Explain the steps you used to solve the problem.
Click here to see answer by mananth(12270)

Question 453749: You recently started the paperwork to purchase your new home, and you were just notified that you can move into the house in 2 weeks. You decide to hire a moving company, but are unsure which company to choose. You search online and are interested in contacting two companies, Heavy Lifters and Quick Move, to discuss their rates. Heavy Lifting charges a $130 fee plus $25 per hour. Quick Move charges a $55 fee plus $50 per hour.

For what values h (hours) does Quick Move offer the better deal? Express your answer as an inequality. Explain how you reached your answer.
than I have to graph the linear equations, and solve
Thank you for your help
Click here to see answer by stanbon(57377)

Question 453894: what is 3t + 5(1-5t)
Click here to see answer by algebrahouse.com(1079)

Question 454313: Solve the linear system by using substitution. x=6-4y, 2x-3y=1
Click here to see answer by algebrahouse.com(1079)

Question 454327: Solve the linear system by using substitution. 3x+2y=5, 5x-9y=-4
Click here to see answer by mananth(12270)

Question 454353: how to find the radius of a cone with v=10 and h=5

Click here to see answer by ankor@dixie-net.com(15657)

Question 454558: a car enters a highway at point A and travels west at a constant speed of 55 MPH. One hour later, another car enters the highway at point A and travels west at a constant speed of 65 MPH. How long does it take the second car to overtake the first?
Click here to see answer by mananth(12270)

Question 454824: Amy paid $84.18 for a pair of running shoes during a 20%-off sale. What was the regular price?
Click here to see answer by rfer(12662)

Question 454868: Find the domain of the function.
g(x)=8/(6-7x)
Click here to see answer by MathLover1(6634)

Question 454861: Trains A and B are traveling in the smae direction on parallel tracks. Train A is traveling at 100 mph and train B is traveling 110 mph. Train A passes a station at 11:15am. If train B passes the same station at 11:27am at what time will train B catch up to train A?
When will train B catch up with train A? __:__am or pm.
Click here to see answer by ankor@dixie-net.com(15657)

Question 455185: Jane took 30 min to drive her boat upstream to water-ski at her favorite spot. Coming back later in the day, at the same boat speed, took her 1o min. If the current in that part of the river is 3 km per hour, what was her boat speed in still water?
Can someone show me the set up for this?
Click here to see answer by stanbon(57377)

Question 455335: This is a tough one: A family has two cars. The first car gets 20 miles per gallon, and the second car gets 35 mpg. During one particular week, the two cars drove a combined total of 1850 miles for a total gas consumption of 70 gallons. How many gallons were consumed by each of the two cars that week?
Click here to see answer by Alan3354(30993)

Question 455759: if x+y=a and xy=b then the value of ?THANK YOU VERY MUCH.
Click here to see answer by robertb(4012)

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