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

Tutors Answer Your Questions about Linear-systems (FREE)

Question 43954: Tell whether the systems of equations have only one ordered pair as a solution or not. Also explain your answer by telling whether the graphs of the equations are parrallel lines, intersecting lines, or the same line.
x + 2y = 3
2x + 4y = 6
Click here to see answer by fractalier(2101)

Question 43953: Tell whether the systems of equations have only one ordered pair as a solution or not. Also exlpain your answer by telling whether the graphs of the equations are parrallel lines, intersecting lines, or the same line.

x + 2y = 3
x + 2y = 6
Click here to see answer by fractalier(2101)

Question 43960: Solve the pairs of equations by using the substitituion method.
x + 2y = 10
x = 3y
Click here to see answer by fractalier(2101)

Question 43959: Sovle the pairs of equations using the substitituion method.
x - y = 26
3x - 8y = 3
So far I have: 3(26 + y) - 8y = 3 69y - 8y = 3
Click here to see answer by fractalier(2101)

Question 43955: Solve the pairs of equations using the addition or subtraction method.

x + y = 15
x - y = 3
I have: 2x = 18 x = 9, but I don't know if it's right and Ican't figure out the rest.
Click here to see answer by benni1013(197)

Question 43850: Solve by any method. Assume a and b represent nonzero constants.
ax + by = 3
ax - by = 10
Click here to see answer by adamchapman(301)

Question 43973: Why is the graph of F(x)=x*x^-1 not the same as the graph of y=1?
Click here to see answer by stanbon(57290)

Question 44003: ok this is a word problem i just for some reason cannot find out .....
The sum of the ages of joe and jim is 62. Five years from now, joe will be twice Jim's age. Find joe's present age? Sorry this question is not out of a text book.
Thank you very much for the help,
Jesse
Click here to see answer by adamchapman(301)

Question 44004: what is the slope foe : (1/7, 1) , (2, 1/2) ? how do u solve it?
i need to slove for b . i got -7/26 is that right?

thanks
Click here to see answer by adamchapman(301)

Question 44009: Suppose x and y satisfy both of follwing equations below. Then y = ?
x-3y=7 and 2x+4y=5
Thanks.
Click here to see answer by adamchapman(301)

Question 44025: I've got this question: An open-top box is to be constructed from a 6 by 8 foot rectangular cardboard by cutting out equal squares at each corner and the folding up the flaps. Let x denote the length of each side of the square to be cut out.
a)Find the function V that represents the volume of the box in terms of x.

I've managed to come up with volume of the box is width x length x height = (6-2x)(8-2x)x. This is where it ends for me, I can't figure out how to solve it and I need to solve it, because I have to graph it.

b) Graph this function and show the graph over the valid range of the variable x.
PLEASE PLEASE HELP!

Click here to see answer by Earlsdon(6287)

Question 44339: Hello,
I could really use help with this problem:
Find all possible pairs of numbers such that the first is at least 8 more than 4 times the second, and 12 less than three times the first is at most 12 more than 8 times the second.
Thank you in advance,
Louis
Click here to see answer by Nate(3500)

Question 44615: . (4) Solve the system of equations.
6x – 2y = 2
9x – 3y = 1
Click here to see answer by venugopalramana(3286)

Question 44750: equation with 3 linear variables
2x-y+z=10
4x+2y-3z=10
x-3y+2z=8
wouldn't you divide the first equation by 2?
Click here to see answer by venugopalramana(3286)

Question 44751: equations with 3 linear variables
6x-4y+5z=31
5x+2y+2z=13
x+y+z=2
should you multiply the 2nd equation by 2?
show work
Click here to see answer by venugopalramana(3286)

Question 44704: equations in three linear variables
6x-4y+5z=31
5x+2y+2z=13
x+y+z=2
wouldn't you multiply the second equation by 2?
Click here to see answer by OHtutor(16)

Question 44821: 2x-y+z=10
4x+2y-3z=10
x-3y+2z=8
solve for x, y,z
i have so far
2x-y+z=10
4x+2y-3z=10
multiply the first equation by 2 which gives
4x-2y+2z=20
am i on the right track
Click here to see answer by stanbon(57290)

Question 44703: equations in three linear variables
2x-y+z=10
4x=2y-3z=10
x-3y+2z=8
wouldn't you multiply the first equation by 3?
Click here to see answer by corrie21(4)

Question 44966: 2x+3y-z=4
3x+2y+2z=6
4x-y+3z=5
solve in three variables
Click here to see answer by josmiceli(9669)

Question 45082: Solve the following system of linear equation by the substitution method.
y=3x-4
x+y=32
Click here to see answer by checkley71(8403)

Question 45081: Solve the following system of linear equation.
y=2x+1
x+y=-2
Click here to see answer by checkley71(8403)

Question 44967: 2x-3y+z=7
x+2y-3z=7
-x+4y+3z=5

solve in three variables using cramer's rule
thank you
Click here to see answer by checkley71(8403)

Question 45372: Could you help with this problem:
1/3S + 7/9 = 4/3s
So far what I have done is:
Multiplied both sides by 9 to get 9(1)/3s + 9(7)/9 + 9(4)3s
Then I get 3 * s + 7 = 3 * 4 * s
Which is 3 * s + 7 = 12s
Then I have subtracted 3s from both sides but I'm not sure about these steps.
I get stuck here. Can you help?
Click here to see answer by stanbon(57290)

Question 45375: Hello !!
Please help me with the following problem whish for some reason has driven me mad with anguish over my inability tonight to represent it in the propoer mathematical form (linear equation system). Please show me how you work out this problem.
"A glass of milk supplies 0.1 mg of iron and 8.5 mg of protein. A quarter pound of lean meat provides 3.4 mg of iron and 22 g of protein. If a person on a special diet is to have 7.1 mg of iron and 69.5 g of protein, how many glasses of milk and how many quarter-pound servings of meat will provide this?"
THANK YOU LIFE-SAVERS !!
Alex
Click here to see answer by rapaljer(4667)

Question 45443: I would like help with this problem:
1/2q - 6 = 1/5q
What I have worked so far is:
1/2q - 6 - 1/5q = 1/5q - 1/5q
Could someone help me from here?
Click here to see answer by tutorcecilia(2152)

Question 45449: Please help me solve this problem:
0.10x + 0.08(1-x) = 0.0948
This is what I tried:
0.10x + 0.08(1-x) = 0.0948
.10x + .08 - .08x = .0948
.02x = 0.0148
x = 0.74

Click here to see answer by Fermat(127)

Question 45539: Hello!
Would anyone please help with the following word-problem that requires the proper linear equation setup:
"A nurse has two solutions that contain different concentrations of a certain medication. One is a 10% concentration and the other is 5% concentration. How many cubic centimeters of each should she mix to obtain 20 cubic centimeters of an 8% solution?"
THANK YOU.
Alex
Click here to see answer by Nate(3500)

Question 45538: Hello!
Would anyone please help with the following word-problem that requires the proper linear equation setup:
"A nurse has two solutions that contain different concentrations of a certain medication. One is a 10% concentration and the other is 5% concentration. How many cubic centimeters of each should she mix to obtain 20 cubic centimeters of an 8% solution?"
THANK YOU.
Alex
Click here to see answer by Nate(3500)

Question 45620: Solve the following system of linear equations by the substitution method. Clearly state the solution.
3x-5y=4
y=3/4x-2

Click here to see answer by Nate(3500)

Question 45618: (1) Write an equation for the following statement and solve it:
“The length of a rectangle is 1 yard shorter than twice the width, and the perimeter is 298 yards. What is the value of the width and length?”

Click here to see answer by Nate(3500)

Question 45804: Hi, I have a word problem. And it says that I have to assume that the exercise describes a linear relationship. ok... here it is.
A vendor has learned that, by pricing hot dogs at $1.00, sales would reach 102 hot dogs per day. Raising the price to $1.50 will cause the sales to fall to 78 hot dogs per day. Let y be the number of hotdogs the vendor sells at x dollars each. Write a linear equation that models the number of hot dogs sold per day when the price is x dollars each.
In my work I keep getting 48x but Im not sure how. I may be negative, I don't know. And I'm getting both 54 and 150 to add on to it in the equation but again, I'm not sure. THANK YOU!
Click here to see answer by checkley71(8403)

Question 45946: I have to solve this system.
-2(x+y)-3=5x+3y-10
-3y-(x+2)=3y-5x+5
I have worked it several times and keep getting different answers.
Please help!
Click here to see answer by venugopalramana(3286)

Question 46104: An Investment is worth $ 3432 in 1991. By 1995 it as grown to $ 4132. Let y be the value of the investment in the year x, where x = 0 represents 1991. Write a linear equation that models the value of the investment in the year x.
I am to solve and assume that the exercise describes a linear relationship.
Click here to see answer by Nate(3500)

Question 46280: Without graphing, determine whether the graphs of the equations are identical lines, parallel lines, or lines that intersecting at a single point.
y-5x= 2
5y = 25x + 10
Click here to see answer by Nate(3500)

Question 46281: Without graphing, determine whether the system has one solution, no solution, or an infinite number of solutions.
6x - y = 14
x + 3y = 15
thank you
Click here to see answer by Nate(3500)

Question 46678: I have a problem that I can not complete 3/10x + 9/14x^2 The answer I was given is 3(7x + 15)/70x^2 How the heck did they get that???? Can you help??
By the way x^2= x squared
Click here to see answer by Earlsdon(6287)

Question 46826: this problem is from the beginning algebra book
I need help to graph this linear equation I have tried it own my own but can't seem to solve can you help me.
3x-4y<12
Click here to see answer by adamchapman(301)

Question 46934: What is the equation of the line with y-intercept 7 and x-intercept 5?
Click here to see answer by fractalier(2101)

Question 46997: Solve equation for ordered pair
x^2+y=4
2x+y=1

Click here to see answer by mathchemprofessor(65)

Question 47165: A math class has 29 students. There are 3 more boys than girls. How many boys and girls are there?
Click here to see answer by Nate(3500)

Question 47167: The length of a rectangle is 3 times it's width. The perimeter is 48. Find the length and width
Click here to see answer by adamchapman(301)

Question 47163: The sum of two numbers is 137. The difference between the numbers is 29. What are the two numbers?
Click here to see answer by adamchapman(301)

Question 47166: Two pieces of rope measure 25 feet. One piece is 3 feet more than the other. What are the lengths of the two pieces?
Click here to see answer by adamchapman(301)

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