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

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Tutors Answer Your Questions about Linear-systems (FREE)


Question 85531: 2x+y=2
4x+y=4
If you multiply one of these by -1, the Ys will cancel, enabling you to solve it for x:
-1(2x + y = 2) --> -2x - y = -2
4x + y = 4 --> 4x + y = 4
-----------
2x = 2
x = 1
Now plug 1 in for x into either of the original equations to get y:
2(1) + y = 2 [using the first eqution]
2 + y = 2
y = 0
The solutoin is (1 , 0)

Click here to see answer by scianci(186) About Me 

Question 85529: Could you please help me solve these systems by using the addition method and indicate whether each system is independent, inconsistent, or dependent.
x+3(y-1)=11
2(x-y)+8y-28
Thank you!!!

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Question 85528: two trees and ash and an oak, grew together side by side in the forest. Over the years the ash grew to be one and a quarter times as high as the oak. One day the woodcutter came along and lopped 3 meters off the height of both trees and now the ash is one and a third times the height of the oak. How high was the ash originally
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Question 85550: y=4x-9
y=-x+6
Solve a system by substitution

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Question 85577: Solving for x please
(x + 3)/4 – 3/2 = (x + 4)/8

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Question 85635: I need help please with these problems: Solve the absolute value equation and graph the solution set:
[2x-8]=0
[5x-1]<=14

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Question 85634: Help please! I need to solve this system by graphing and indicate whether it is independent, inconsistent, or dependent:
y=3x-4
y=-2x+1

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Question 85597This question is from textbook Plato Interactive Mathematics - Elementary Algebra
: This problem is driving me nuts.
******
The math score on an exam can be written as:
S=200 + 20R - 5W, where S is the score, R is the number of correct answers and W is the number of wrong answers.
Dana's score on the test was 525 and he answered 19 questions correctly. How many did he answer incorrectly?
*******
I know the answer to be 11, but I can't figure out how it was solved!!!!!!!!!!!!!
Please help.
This question is from textbook Plato Interactive Mathematics - Elementary Algebra

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Question 85670: x/3>-5/4

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Question 85724: Adult tickets for a play cost $11 and child tickets cost $10. If there were 23 people at a performance and the theater collected $246 from ticket sales, how many children attended the play?
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Question 85734: how to graph a line with a slope of 2 and y=-3?
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Question 85773: What is linear factoring and can you explain on how to do this problem:
*which of the following is a linear factor of 2x^2-x-6?
a. 2x-3
b. x+2
c. 2x+3
d. x-3

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Question 85812: Can you please help me with trying to find n, please?
a = w(p+n)/7 .

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Question 86118: Hi! I was wondering if you could help me with the following problem:
Find the slope of the line perpendicular to -3x+2y=15
If you could help that'd be great!
Thanks.

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Question 86597: find three consecutive odd numbers that the sum of the last two bigger numbers is 85 more thean the first
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Question 86683: I am so confused with this problem. Can someone show me how this is done?
Find values for m and b in the following system so that the solution to the system is (-3, 4).
5x + 7y = b
mx+ y = 22

Click here to see answer by ptaylor(1578) About Me 

Question 84468This question is from textbook finite mathmatics
: What is the solution to the system of equations below?
X + 2Y - Z = -3
2X - Y + 3Z = 14
X + 4Y - 2Z = -8

A. (1,1,6)
B. (1,3,5)
C. (4,-1,4)
D. (2,-1,3)
This question is from textbook finite mathmatics

Click here to see answer by Flake(45) About Me 

Question 86906: Yuk! I hate applications. I always get mixed up picking picking what goes where in the equations. I had one person show me how to solve it using just equations, another showed me how by using a table. I'm confused with both of them.
Here it is.
A truck rental agency charges a daily fee plus a milage fee. Mel was charged $85 for 2 days plus 100 miles, and Sarah was charged $165 for 3 days and 400 miles. What is the agency's daily fee and their milage fee?
a) Write the system of equations for this problem.
b) Find the solution.

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Question 86915: If the sum of two numbers is 1, and their difference is 4, what are the two numbers?
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Question 86805: linear systems in three variables
2x+3y-6z=4
3x-2y-9z=-7
2x+5y-6z=8

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Question 87071: 3x+2y=13
2x+5y=5

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Question 87113: solve homogeneous system of equations
x - 2y + 3z = 0
3x - 7y - 4z = 0
4x - 4y + z = 0
Thank you

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Question 87112: Solve system of equation
3x + 2y - 5z = 6
5x - 4y + 3z = -12
4x + 5y - 2z = 15
Please help! Thank you!

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Question 87262: Can you please help with this question? Thanks Find the equation, in standard form, with all integer coefficients, of the line perpendicular to x + 3y = 6 and passing through (-3, 5).
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Question 87119: 2x - y + 2z = -8
-x + 3y - 4z = 15
x + 2y - 3z = 9

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Question 87385: One canned juice drink is 15% orange juice, another is 10% orange juice. How many liters of each should be mixed together in order to get 5 liters that is 14% orange juice?
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Question 87444: 51) You now have had practice solving equations with one variable and equations with two variables. Compare equations with one variable to equations with two variables. How are they alike? How are they different?
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Question 87535: Please, I need some help with these problems. If anyone can help please.
1. {4x+y=13
{2x-y=5
2. {2x+4y=6
{5x+10=15
3. {x+y-z=-1
{-4x-y+2z=-7
{2x-2y-5z=7

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Question 87578This question is from textbook Beginning Algebra
: Good Evening Tutor,
I have a question from a question in the textbook. The area of a triangle is
A=1/2bh.
My question asks: Solve each literal equation for the indicated variable.
I am solving (for b) the area of a trapezoid and the equation is
A=1/2h (B+b)
I am unsure how to change the equation to find b can you please explain to me what equation to use and why? I am sure that B+b will be the lengths of the 2 parallel sides but I am unsure how to get to the answer. Thank you greatly for your help.
This question is from textbook Beginning Algebra

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Question 87577: Find the equation of the lines if:
The line is parallel to the line 3x-7y=15 and has an x-intercept of -5.

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Question 87570This question is from textbook
: x+y=3
x-y=1
This question is from textbook

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Question 87678: I really need help on this problem: If f is a linear function and f(0)= 10 and
f(10)= 14, find f(5) and f(-5).
PLEASE HELP ME!!!!!!!!

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Question 87668: Find the equation.
The line with the x-intercept 5 and y-intercept -7.

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Question 87761: Solve graphically:
5x-2y=3
2x-y=0

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Question 88022: 2x + 4y = -2
3x - 2y = -5

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Question 88168: Please help me solve this. I have the answer, but I'm stuck on how to work the problem to make my answer match the one that was given to me. I was told to use it as a guide to compare my work to the answer that was given to me and I'm really stuck. The problem is:
1/3x+2/1y=3/1
2/3x-3/5y=2/5

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Question 88289: Can someone help me with this one
Solve the system by graphing, addition and substitution methods.
5x – 4y = –5
x – 2y = –7

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Question 88288: Goodmorning, I need help with this
Solve the system by graphing, addition and substitution methods.
3x + y = –1
9x + 3y = –3
Thank you

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Question 88314: I dont understand the following: solve by graphing
x+y=7
2x-y=5
The instructions also say if you solve the system and the variables both add out, you need to tell whether the system consists of lines that coincide (infinite solutions) or parallel lines(no solution)

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Question 88547: The graph of y = 2x + 7 is:
A.The same as the graph of y = 2x moved to the right 7 on the x axis
B.The same as the graph of y = 2x moved to the left 7 on the x axis
C.The same as the graph of y = 2x moved up 7 on the y axis.
D.The same as the graph of y = 2x moved down 7 on the y axis.

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Question 88553: Find the coordinates of the y intercept of 3x-5y=10
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Question 88553: Find the coordinates of the y intercept of 3x-5y=10
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Question 88564: 1.Put the equation 3x - 2y = 16 in slope-intercept form.
A.y = -3x + 16
B.-y = 3x - 8
C.y = -5x + 16
D.y = (3/2)x - 8


2.If y varies inversely as x, and y = 8 when x = 4, find x when y = 2
A.1
B.16
C.4
D.8




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Question 88638: Find the distance of segment PQ with points P(-4,3) and Q(-6,1).
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