Tutors Answer Your Questions about Systems-of-equations (FREE)
Question 201237: The sum of three numbers is 15, the sum of twice the first number,4 times the second number and five times the the third number is 49. the difference between 4 times the first number and the second number is 23. find the three numbers in there order???
Click here to see answer by Alan3354(69443)   |
Question 202020: Hello! Could you give e chanse to have the solution of this problem?
The different of two naural number is 9 and he different of their reciprocal is 9/190. Find the numbers.
This was my way which doesn't go on:
or
Since sqrt( 3037801 ) is not an integer number (it is a so called irrational number, not reducible to fractions like m/n), further reduction of this expression will not give you an integer result.
Click here to see answer by jim_thompson5910(35256) |
Question 202204: Need to double check my answer please:
Solve the system by the addition method:
4x + 8y = 6
3x – 8y = 7
7x = 13
/7 /7
x=13/7
4(13/7) +8y=6
52/7+8y=6
7(52/7) +7(8y) =7(6)
52+56y=42
-52 -52
56y -10
/56 /56
y=-5/28
(13/7,-5/28)
Click here to see answer by solver91311(24713)  |
Question 202205: Need to double-check this equation please:
Solve the system by the addition method:
(1/6) x + (1/4) y = -2
x – y = -6
12(1/6 x+1/4 y)=12(-2)
2x+3y= -24
3(x-y) = 3(-6)
3x-3y=-18
2x+3y=-24
5x =42
/5 /5
x= -42
-42/5-y= -6
+42/5 +42/5
-y= 12/5
/-y /-y
y= -12/5
Click here to see answer by solver91311(24713) |
Question 202223: Need to double check this equation please:
Write the following problem as a system of two equations in two unknowns. Solve the system using the substitution method:
The sum of two numbers is 2, and their difference is 26. Find the numbers.
x+y=2
x-y=26
x+y=2
-x -x
y= -x+2
x-(-x+2)=26
x+x-2=26
2x-2=26
+2 +2
2x=28
/2 /2
x=14
x+y=2
14+y=2
-14 -14
y=2-14
y= -12
The 2 numbers are: (14,-12)
Click here to see answer by solver91311(24713) |
Question 203476: 1. Solve by substitution or elimination method:
3x – 2y = 26
-7x + 3y = -49
2. Solve by substitution or elimination method:
4x – 5y = 14
-12x + 15y = -42
3. Solve by substitution or elimination method:
-2x + 6y = 19
10x – 30y = -15
Second set of problems:
1. Plot the graph of the equations 2x - 3y = 5 and 4x - 6y = 21 and interpret the result.
2. Plot the graph of the equations 4x - 6y = 12 and x - 5y = 10 and interpret the result.
3. Plot the graph of the equations 8x - 4y = 12 and -4x + 2y = -6 and interpret the result.
Click here to see answer by RAY100(1637) |
Question 203475: 1. Solve by substitution or elimination method:
3x – 2y = 26
-7x + 3y = -49
2. Solve by substitution or elimination method:
4x – 5y = 14
-12x + 15y = -42
3. Solve by substitution or elimination method:
-2x + 6y = 19
10x – 30y = -15
Second set of problems:
1. Plot the graph of the equations 2x - 3y = 5 and 4x - 6y = 21 and interpret the result.
2. Plot the graph of the equations 4x - 6y = 12 and x - 5y = 10 and interpret the result.
3. Plot the graph of the equations 8x - 4y = 12 and -4x + 2y = -6 and interpret the result.
Click here to see answer by RAY100(1637) |
Question 203528: A plane can fly at a 1720 miles in 5 hours against the wind at max speed. The same plane can fly 1720 miles in 4 hours with the wind at max speed. What is the speed of the plane with no wind? Let x = max speed, and y = wind speed.
Click here to see answer by rfer(16322) |
Question 205429: What similarities and differences do you see between functions and linear equations? Are all linear equations functions? Is there an instance in which a linear equation is not a function? Create an equation of a nonlinear functions.
Click here to see answer by solver91311(24713) |
Question 205429: What similarities and differences do you see between functions and linear equations? Are all linear equations functions? Is there an instance in which a linear equation is not a function? Create an equation of a nonlinear functions.
Click here to see answer by stanbon(75887) |
Question 209323: Please help me with this problem? I am so confused on word problems.. Thank you so much. Tom and Cathy decide to run a race. Tom can run at 10 meters per second and Cathy can run at 6 meters per second. Tom gives Cathy a 50 meter head start. How long is it before Tom catches Cathy? Type in your numerical answer only (in seconds);
Click here to see answer by Alan3354(69443) |
Question 209326: Please help me with the following word problem, I can not do percentages at all and I can not figure out the answer. Thank you so much! A chemist wants to mix a 5% alcohol solution with a 25% alcohol solution to obtain 8 liters of a 20% alcohol solution. How much (in liters) of the 25% solution should she use?
Click here to see answer by josmiceli(19441)  |
Question 209322: Please help me with this problem, i do not understand it at all, and can not figure out if they made 205.50 total or just from plain...A lady sold two types of pastries at the town's bake sale. Plain pastries were 35 cents each and fruit-filled pastries were 45 cents each. She sold 500 pastries total. How many plain pastries did she sell if she earned $205.50? Type in your numerical answer only
Click here to see answer by stanbon(75887) |
Question 209325: Please help me with the following word problem, I do not know how to do the percentages.. and I can not figure out the answer. thank you so much
Nancy had $18,000 in savings. She invested part of it at 7.5% interest and the rest at 9%. If the total income from the two investments was $1560, how much did she invest at 9%? Type in your numerical answer only (in dollars)
Click here to see answer by checkley77(12844) |
Question 211053: I am very confused with the simplex method. Can someone provide details as to how to work out the below?
Solve the following standard minimum problem by finding the dual maximum problem and using the simplex method.
Minimize: C=29y1+10y2
subject to: 3y1+2y2>=2
5y1+y2>=3
y1>=0, y2>=0
Click here to see answer by stanbon(75887) |
Question 213460: I have a question that I have been working on and I am wondering if I am on the right path. The question is as follows: Is the graph f(x) = x^1171 - 5^109 + 3 y-axis symmetric, origin symmetric, or neither one. Explain your answer.
When working out the problem and replacing x with -x the reworked problem does not come out the same as the original so it is not y-axis symmetric. Then when I multiple (-1) to both sides it does not come out to be the same as the original problem either. So, I am saying that f(x)=x^11171 - 5^109 +3 is neither y-axis or origin symmetric. Am I right with my analysis?
Lori
Click here to see answer by stanbon(75887) |
Question 213460: I have a question that I have been working on and I am wondering if I am on the right path. The question is as follows: Is the graph f(x) = x^1171 - 5^109 + 3 y-axis symmetric, origin symmetric, or neither one. Explain your answer.
When working out the problem and replacing x with -x the reworked problem does not come out the same as the original so it is not y-axis symmetric. Then when I multiple (-1) to both sides it does not come out to be the same as the original problem either. So, I am saying that f(x)=x^11171 - 5^109 +3 is neither y-axis or origin symmetric. Am I right with my analysis?
Lori
Click here to see answer by Theo(13342)  |
Question 214357: Hi again, can anyone show me how to use Gaussian Elimination? I have to use it to solve some of the following eqaution. Help with the whole equation would be most apreciated.
Solve the following system of equations by hand. Use the Gaussian Elimination, on the augmeted matrix, and write the row operation you used next to each row.
Help with steps and added notes would be really appreciated.
-Nick.
Click here to see answer by Edwin McCravy(20054)  |
Question 215002: In 1992, the life expectancy of males in a certain country was 71.6 years. In 1998, it was 75.1 years. Let E represent the life expectancy in year t and let t represent the number of years since 1992.
The linear function E(t) that fits the data is?
use the function to predict the life expectancy of males in 2005.
Click here to see answer by jim_thompson5910(35256) |
Question 215878: for a recent job, a plumber earned 28 dollars per hour, and the plumber's apprentice earned 15 dollars per hour. The plumber worked 3 hours more than the apprentice. If together they were paid 213 dollars, how much did they earn?
Click here to see answer by checkley77(12844) |
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