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

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Question 202661: Solve This Equation by Using the Substitution Method.
x+2y=6
x-4y=8

Click here to see answer by jim_thompson5910(35256) About Me 
Question 202661: Solve This Equation by Using the Substitution Method.
x+2y=6
x-4y=8

Click here to see answer by MathTherapy(10552) About Me 

Question 202701: Solve the following problems for X,Y and Z
X+Y+2Z=5
X+Y=5
X+3Y+Z=11

Click here to see answer by PRMath(133) About Me 

Question 202705: Please help me solve this word problem:
Gustav invested all of his $3,000 savings: a part in annual rate of 6% and the rest at an annual rate of 9%. His annual income from both investments is equivalent to 8% of his total investment. How much is invested at 9%?

Click here to see answer by rfer(16322) About Me 

Question 202745: Solve
9/10 (7+2x)+2 ≥ 14
--------------------
63/10 +9/5 x+2 ≥ 14
9/5x+83/10 ≥ 14
subtract 83/10
9/5x + 83/10-83/10 ≥ 14-83/10
9/5x ≥ ?/10 ( I'm a little confuse and could you help me out here please?)
Then multiply 5/9
9/5x * 5/9 ≥ ?/10*5/9 (And here?)
x ≥ ?
Thank you!

Click here to see answer by jim_thompson5910(35256) About Me 
Question 202745: Solve
9/10 (7+2x)+2 ≥ 14
--------------------
63/10 +9/5 x+2 ≥ 14
9/5x+83/10 ≥ 14
subtract 83/10
9/5x + 83/10-83/10 ≥ 14-83/10
9/5x ≥ ?/10 ( I'm a little confuse and could you help me out here please?)
Then multiply 5/9
9/5x * 5/9 ≥ ?/10*5/9 (And here?)
x ≥ ?
Thank you!

Click here to see answer by rfer(16322) About Me 

Question 202709: 7. Solve for X,Y and Z
2X+2Y+4Z=10
3X+3Y=15
4X+12Y+4Z=44


Click here to see answer by PRMath(133) About Me 

Question 202807: a total of 27000 was invested, part of it at 10% and part at 12%. the total yield was 2990. how much was invested at each rate?
Click here to see answer by rfer(16322) About Me 

Question 202806: The perimeter of a lot is 190 m. The width is one fourth the length. Find the dimensions.
Could you please help me leabel them like 1,2,1a,2a,3,3 into 1,etc.

Click here to see answer by Earlsdon(6294) About Me 
Question 202806: The perimeter of a lot is 190 m. The width is one fourth the length. Find the dimensions.
Could you please help me leabel them like 1,2,1a,2a,3,3 into 1,etc.

Click here to see answer by rfer(16322) About Me 

Question 202824: I have no idea do even start this problem I reallly need help.
The album thriller was released in december of 1983, when the king of pop was worth $37 million. when thriller finally fell from the billboard top 10 in july 1985 micheal's net worth was $193 million.
Using december 1983 as a reference month, determine a liner function that can ve used to estimate Micheals net worth during the thriller albums billboard top 10 period. let your time variable represent the number of months since december.
I was thinking that i would have to do something like subtract 37 from 193 or something but im not confident about it..help?!?!

Click here to see answer by stanbon(75887) About Me 

Question 202845: Find the LCD for the following; then add as indicated.
1/4+1/3+1/5+1/6

Click here to see answer by RAY100(1637) About Me 

Question 202850: Find the LCD for the following; then add as indicated.
16/35+11/56

Click here to see answer by dyakobovitch(40) About Me 

Question 202913: -4x+7y=9
2y=-5x-22
solve using addition method

Click here to see answer by vleith(2983) About Me 

Question 202932: The system of equations 2/3x +1/2y = 2 and 4x +3y = 12 is:
a. non-linear
b. inconsistent
c. dependent
d. consistent

Click here to see answer by Earlsdon(6294) About Me 

Question 202943: Explain how to apply elimination in solving a system of equations; apply substitution in solving a system of equations. Demonstrate each technique in solving the system
2x + 7y = 12
5x - 4y = -13

Click here to see answer by jim_thompson5910(35256) About Me 

Question 203036: One number is 4 less than another number. The sum of the two numbers is four times their difference. What are the two numbers?
Click here to see answer by RAY100(1637) About Me 

Question 203073: -3x+y=3 and 2x-y=-1
what is the solution

Click here to see answer by jim_thompson5910(35256) About Me 

Question 203093: 1.Use the Substitution method to solve the system of equations.
x + y = 10
y = x + 8
2.Use the Substitution method to solve the system of equations.
3x + y = 5
4x - 7y = -10
3.Use the Substitution method to solve the system of equations.
y - 2x = -5
3y - x = 5

can you please help me solve each step by step so i can under stand

Click here to see answer by jim_thompson5910(35256) About Me 

Question 203068: Please help me solve this word problem.
Trains A and B are traveling in the same direction on parallel tracks. Train A is traveling at 60 mils per hour and train B is traveling at 70 mils per hour. Train A passes a station at 5:15 A. M. if train B passes station at 5:27 A.M, what time train b catch up train A?
Thank you!

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 203190: what are 3 ordered pairs that are solutions to 3x+y=1
Click here to see answer by rfer(16322) About Me 

Question 203199: finding solution by graphing solve by graphing x+4y=-6 2x-3y=-1
Click here to see answer by jojo14344(1513) About Me 

Question 203228: How do we write the equation of a vertical line? What would be an example?
Click here to see answer by PRMath(133) About Me 

Question 203232: adult ticket prices are 8 dollars kid ticket prices are 5 dollars if 500 tickets were sold and the total amount of the tickets equals 3475 dollars, how do i find how many adult and child ticket prices were sold?
I got the answer I came up with 325 adults, and 175 kids, but HOW do I show the work, how do I set up the equation. it was on my job interview today... i felt really stupid

Click here to see answer by jim_thompson5910(35256) About Me 

Question 203227: How do we write the equation of a horizontal line? What would be an example?
Click here to see answer by edjones(8007) About Me 

Question 203229: The points (1, 3), (2, 5), (8, 17), (50, 101), and (1000, 2001) all lie on line M.
The points (1, -1), (2, -3), (8, -15), (50, -99), and (1000, -1999) all lie on line N.
a. Form the equations of both the lines. Show your work.
b. What are the co-ordinates of the point of intersection of lines M and N?
c. Write the co-ordinates of the intersections of lines M and N with the x-axis.
d. Write the co-ordinates of the intersection of lines M and N with the y-axis. Could you help me with these? This is very difficult for me. You are very much appreciated.

Click here to see answer by Earlsdon(6294) About Me 

Question 203240: For a hiking trip, you are making a mix of x ounces of peanuts and y ounces of chocolate pieces. You want the mix to have less than 70 grams of fat and weigh less than 8ounces. An ounce of peanuts has 14 grams of fat, and an ounce of chocolate pieces has 7 grams of fat. Write and graph a system of inequalities that models the situation
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 203324: Find both the x and y intercepts of the line 3x+2y=-18
Click here to see answer by checkley77(12844) About Me 

Question 203325: Solve the following system of linear equations using any method. If a solution does not exist, write no solution.
5x+6y=14
-3y+x=7

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 203355: Please I need help with this one. Thanks million.
Solve by the elimination method.
7r+3s=38
3r+7s=66
--------------
21r+9s= -114
-21r-49= -462
-58= -576
S=? 9.9....?
--------------
7r-3(3)=-38
R=?

Click here to see answer by scott8148(6628) About Me 

Question 203326: Find the intersection of the sets {2,5,8,9,11,13} and {3,4,5,6,7,8}.
Click here to see answer by jsmallt9(3758) About Me 

Question 203361: Please help me finish solving problem.
Solve by the substitution method.
4x+3y= -9
x=6-9y
------------
4(6-9y) +3y= -9
24-54y+3y= -34
Y=?
X=?

Click here to see answer by stanbon(75887) About Me 

Question 203365: Could you please help me out with this problem??
Solve by elimination method
7/2x + 7/3y = 42
1/4x + 1/3y = 4
Thank you very much!!

Click here to see answer by stanbon(75887) About Me 
Question 203365: Could you please help me out with this problem??
Solve by elimination method
7/2x + 7/3y = 42
1/4x + 1/3y = 4
Thank you very much!!

Click here to see answer by jsmallt9(3758) About Me 

Question 203400: Solve.
-0.4x<-32
-----------
x<80?
Did I got the right answer?
Thank you!

Click here to see answer by Earlsdon(6294) About Me 

Question 203405: Solve by the elimination method.
7r+3s=38
3r+7s=66
--------------
21r+9s =114
21r-49= 462
58/576
S=? 9.9....?
--------------
7r-3(?)=?
R=?
It doesn’t make sense to me. Can you please help me solving this problem?
Thank you!

Click here to see answer by jsmallt9(3758) About Me 

Question 203422: 1. The face of a $10 bill has an area that can be represented by the expression 10x² + 9x – 40.
(a) Factor the expression to find the dimensions of the bill.
(b) If x represents 32mm, what are the dimensions of the bill?

Click here to see answer by jsmallt9(3758) About Me 

Question 203423: Expand and simlify
(a) -3(x² - xy + 2y²)
-3x²+3xy-6y²
(b) (x – 1)(x + 4)
x²+4x
-x -4
---------------------
x²+3x-4
(c) -2(x + 3)(2x – 1)
-2x-6 (2x-1)
-4x²+2x
-12x+6
--------------------
-4x²-10x+6
(d) (2x – y)²
(2x-y)(2x-y)
4x²-2xy
-2xy+y²
------------------
4x²-4xy+y²
(e) (2x + 3)(3x – 2) – (x + 5)²
(2x+3)(3x-2)-(x+5)(x+5)
1.) (2x+3)(3x-2)
6x²-4x
9x-2
---------------
6x²+5x-2
2.) (x+5)(x+5)
x²+5x
5x+25
----------------
x²+10x+25
3.)(6x²+5x+2)-(x²+10+25)
6x²+5x+2
- x²+10x+25
---------------
5x²-5x-20

Click here to see answer by geE-thug(1) About Me 

Question 203481: I actually attempted the examples in my book but still do not grasp the concept if I can actually get someone to get to break this down for me i might be able to do the rest on my own:
y= -3x+19
y= 2x-1
and
x+3y=2
-x+y=1 thank you


Click here to see answer by stanbon(75887) About Me 
Question 203481: I actually attempted the examples in my book but still do not grasp the concept if I can actually get someone to get to break this down for me i might be able to do the rest on my own:
y= -3x+19
y= 2x-1
and
x+3y=2
-x+y=1 thank you


Click here to see answer by ankor@dixie-net.com(22740) About Me 
Question 203481: I actually attempted the examples in my book but still do not grasp the concept if I can actually get someone to get to break this down for me i might be able to do the rest on my own:
y= -3x+19
y= 2x-1
and
x+3y=2
-x+y=1 thank you


Click here to see answer by jim_thompson5910(35256) About Me 

Question 203525: solve the system of equation by graphing.
9x-6y=42
6y-9x=-42

is it consistent or inconsistent
dependant or independant
i'm totally lost with this one, thinking there is no solution, but is that correct?
thanks

Click here to see answer by psbhowmick(878) About Me 

Question 203580: 17/35=-x
Click here to see answer by RAY100(1637) About Me 

Question 203641: Find the union of the sets {a,b,c,d,e} and {q,r,s,t}
Click here to see answer by stanbon(75887) About Me 

Question 203743: what is the reason to use mathematical elimination rather than graphing to find the point of intersection of two lines?
Click here to see answer by jsmallt9(3758) About Me 

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