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

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Question 251378: 10. Solve the system of equations: x + 2y = 3
4x + 5y = 6

Click here to see answer by MRperkins(300)

Question 251529: Solve by using the multiplication principal and then add:
7p+5q=4
8p-9q=17
I can not for the life of me figure out how to get one of these to cancel out so that I can eliminate it by using the multiplication principal first...i started by multiplying the first equation by 2 but that doesn't seem to work...so im not sure if i an doing this right...thanks :)
Click here to see answer by richwmiller(17219)

Question 251540: I'm not really sure if this is linear equations or not..
solve the system of equations by graphing and then classify the system
2x+y=4
3x+4y=-14
Click here to see answer by richwmiller(17219)

Question 251595: An Everglades air boat travels 78 miles downstreat in the same amount of time it requires to move upstream a distance of 48 miles. the boats engines drive in still water at an average rate of 16 mph greater than the rate of the current. find the speed of the boat and the water current.
i tried
(16+c)t=48
(16+c)t=78
it didnt work. i cant figure this out please help!
Click here to see answer by stanbon(75887)

Question 251605: I need to solve this problem with a system of three equations for age: The sum of the ages of three brothers, Andre, Brad, and Carlos is 48. In ten years, twice Brad's age will be 3 years less than the sum of his brothers ages. Six years ago, Carlos' age was four years younger than the sum of his brothers ages. How old are the brothers now?
i failed with these equations:
a+b+c=48
b+10=(a+c)-7
c-6=(b+a)-6
Click here to see answer by stanbon(75887)

Question 251603: i need to solve this problem by a system of 3 equations: A piggy bank contains 40 coins consisting of nickels, dimes, and quarters. the sum of the number of dimes and quarters is 10 coins less than the number of nickels. if the number of quarters and nickels were reversed, with the same amount of dimes, the value of the coins would be $7.50. find the number of each type of coin that is in the piggy bank.
i tried these three equations with no luck:
n+d+q=40
d+q=n-10
10d+25q+5n=750
Click here to see answer by stanbon(75887)

Question 251590: i need to solve this word problem with a system of 2 equations. a chemist has one solution containing 20% acid and a second solution containing 30% acid. how many liters of each solution must me combined to obtain 80 liters of a mixture that is 28% acid?
i tried the equations
L=20a+30b
80L=28(a+b)
they didnt work. please help!
Click here to see answer by checkley77(12844)

Question 251591: Eight years ago, Ed was ten times as old as his youngest daughter Faith. In six years, he will only be three times as old as her. What are Ed's and Faith's ages now?
I needed a system of two equations and I came up with
10F-8=E-8
3F+6=E+6
They didn't work. I'm terrible with age problems. Please help!
Click here to see answer by richwmiller(17219)

Question 251592: The length of a rectangle is four inches longer than twice its width. If both dimensions were increased by the length equal to its width, the perimeter would be three inches longer than 3/2 times its original perimeter. Find the dimensions of the original rectangle and its perimeter.
I tried
L=4+2w
LLW+WWL=3+(3/2+P)
I'm absolutely puzzled. please help me out!!
Click here to see answer by richwmiller(17219)

Question 251638: I don't under stand how come i have to put 3x to the right and divide by 2 on this question, (3x + 2y = 6) and i really just don't understand how to do these
Click here to see answer by stanbon(75887)

Question 251683: how do I solve these problems:
y = x - 600 =

y = 1.25X + 350 =
Click here to see answer by stanbon(75887)

Question 250705: The sum of two numbers is 48. If the smaller number is subtracted from the larger, the difference is 12. Find the two numbers.
Click here to see answer by richwmiller(17219)

Question 251716: Band A charges $600 to play for the entire evening. Band B charges $350 plus $1.25 for each ticket sold. *Write a linear equation for the cost of each band. *Find the number of tickets for which the cost of the two bands will be equal.
Click here to see answer by richwmiller(17219)

Question 251743: 1. The question is Write a linear equation for the cost of EACH band
2. Find the number of tickets for which the cost of the two bands will be equal.
Band A charges $600 to play for the entire evening.
Band B charges $350 plus $1.25 for each ticket sold.
Click here to see answer by stanbon(75887)

Question 251737: I have 2 different dish designs to buy. I need 250 sets. One design costs $20 and the other set $40. I have $6800 to spend. How many of each design can I order? x = number of $20 dishes and y = number of $40 dishes
What is the solution to this problem.

Click here to see answer by checkley77(12844)

Question 251827: Determine whether the system is consistent, inconsistent, or dependent.
3x - 3y = -9
9x - 9y = -27
Click here to see answer by stanbon(75887)

Question 251827: Determine whether the system is consistent, inconsistent, or dependent.
3x - 3y = -9
9x - 9y = -27
Click here to see answer by hokies(65)

Question 251861: ax-by-2x-cy
Click here to see answer by College Student(505)

Question 251862: mx-ny-nx-my
Click here to see answer by College Student(505)

Question 251674: SUPPLY AND DEMAND .AT $1.40 PER BUSHEL,THE DAILY SUPPLY FOR OATS IS 850 BUSHELS AND the daily demand is 850 bushels.when the price falls to $1.20 per bushel,the daily supply decreases to 350 bushels,and the daily demand increases to 980 bushels.assume that supply and demand equation are linear
A-find the supply equation.
B-find the demand equation.
C-find the equilibrium price and quantity.
D-graph the two equations in the same coordinate system and identify the equilibrium point,supply curve,and demand curve
Click here to see answer by Theo(13342)

Question 252149: Write a system of equations for the following:
A rectangle is 3times longer than it's width. The permiter is 44 cm.
A farmer grows only pumpkins & corn on a 420 acre farm. He wants to plant 250 more acres of corn than of umpkins. How many acres of each crop does he need to plant.
I figured the answers but do not know how to write a system of equations for them

Click here to see answer by blwinbbbles(106)

Question 252195: how do get the answer of p^2+2p-5=0 using the quadratic formula?
Click here to see answer by drk(1908)

Question 252213: Hi! how do you do substitution method for: 9x+5y=-6
4x+3y=2
Click here to see answer by jim_thompson5910(35256)

Question 251127: elimination graphing
3x - 4y = 12 3x + 4y = 12
4x - 4y = 12 4x - 4y = 12
Click here to see answer by Alan3354(69443)

Question 252392: A 31-inch-square TV is on sale at the local electronics store. If 31 inches measure of the diagonal of the screen, use the Pythagorem to find the legnth of the side of the screen.
Click here to see answer by richwmiller(17219)

Question 252498: Solve the following system of equations algebraically and check:
4x - 5y = 18
3x - 2y = 10

Click here to see answer by jim_thompson5910(35256)

Question 252576: I am trying to find out two symmetrical points from the equation y= -1/3(x-5)^2 -8 the vertex is 5,-8 and the symmetry axis is x=5 the parabola is concave down as -1/3 is a negative. I am sruggling to find the two points so i can do a graph.
Click here to see answer by Edwin McCravy(20056)

Question 252597: Solve the following system of equations algebraically:
3x+2y=4
4x+3y=7
Click here to see answer by jim_thompson5910(35256)

Question 252604: There are 35 tickets to be sold for the dance. The number of tickets sold to seniors must be four times the number of tickets sold to juniors.
please give me 2 linear equations and a solution.
A diamond today costs 10$ more than twice what it cost last year. The sum of the cost (last year and this year) is 2500$. What is the cost of last years diamond?
i need 2 linear equations and a solution for this question also.
THANK U SO MUCH!

Click here to see answer by drk(1908)

Question 252579: how can you figure out two symmetrical points from these two equations. y=5(x+6)^2 and y= -3/5(x-3)^2 I need to have the work done so i can learn from this and figure out other equations. I am not understanding. thank you.
Click here to see answer by stanbon(75887)

Question 250739: x=-10+y
-16x-2y=-2
Click here to see answer by drk(1908)

Question 250702: The sum of two numbers is -64. Twice the first number is 1 more than the second. Find the two numbers

Click here to see answer by drk(1908)

Question 250700: A 50 foot pipe is is cut into two pieces. The length of 1 piece is 9 times the length of the other. What is the length of the longer piece?
Click here to see answer by drk(1908)

Question 252709: Trying to develop a linear equation for:
Gas used: 5, 8, 12, 15, 18, 20, 22, 25
Miles driven, 80, 100, 180, 225, 280, 290, 320, 375
Click here to see answer by drk(1908)

Question 252764: S= 2B+PH solve for H
Click here to see answer by rfer(16322)

Question 252764: S= 2B+PH solve for H
Click here to see answer by richwmiller(17219)

Question 252777: question 1:joe and janna leave home at the same time traveling in opposite directions. joe drives 45 miles per hour and janna drives 40 miles per hour. in how many hours will they be 510 miles apart?

Click here to see answer by richwmiller(17219)

Question 252849: y= 5/6x + 1/6
y= 7/6x + 11/6
Click here to see answer by richwmiller(17219)

Question 252907: If p = 2ak^2, find p when a = -1 and k = 3
Click here to see answer by drk(1908)

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