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

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Question 102311: The sum of two numbers is 36. The difference between the larger number and 8 equals the total of 4 and 3 times the smaller number. Find the 2 numbers
Click here to see answer by doukungfoo(195)

Question 102093: give an equation for the line whose x-intercept is 5 and whose y-intercept is -4
Click here to see answer by edjones(7569)

Question 102386: The sum of two integers is 36, the difference is 6. What is the smaller of the two numbers?
Click here to see answer by Nielsen(1)

Question 102459: Solve the linear systems usung any method:
Eq.1 : 1/3x - 3/4y = -1/2
Eq.2 : 1/6x + 1/8y = 3/4
Click here to see answer by edjones(7569)

Question 102387: One integer is two more than another. The sum of the lesser integer and twice the greater is 7. What is the greater integer?
Click here to see answer by MathLover1(6634)

Question 102460: (y+10)*X=1800
(x+10)*Y = 2000
Click here to see answer by Fombitz(13828)

Question 102490: Can someone help me understand this?
The school system is trying to help their students be more successful. They are going to hire tutors to help. They must have more teachers than tutors. The maximum number of teachers and tutors to be hired is 50. How many tutors and how many teachers can they hire?
Let x = number of teachers hired.
Let y = number of tutors hired.
a. Write an inequality that represents the statement that the number of teachers hired must exceed the number of tutors hired.
b. Write an inequality that represents the statement that the maximum number of teachers and tutors is 50.
c. Choose a point that satisfies the situation, and explain why you chose that number of tutors and teachers.
Click here to see answer by stanbon(57361)

Question 102333: -3(x+5)=8x+18
i don't understand the process of moving the variable to one side of the equal sign.
Click here to see answer by elima(1433)

Question 102300: This is a System with 3 variables. On this problem you have to solve the system elimination. Please help if you can.

x+y+2z=3
2x+y+3z=7
-x-2y+z+10
Click here to see answer by scott8148(6628)

Question 102508: Solve the system by addition or substitution.
–15x + 3y = 9
y = 3 + 5x
Please help me with this problem step by step if at all possible then maybe I can actually catch on, on how to do these problems. THANK YOU!!
Click here to see answer by oberobic(2304)

Question 102273: Solve the system by using the substitution method. Determine whether the equations are Independent, Dependent, or Inconsistent:
1/2x + 1/3y = -1/3
1/2x + 2y = -7
Click here to see answer by jim_thompson5910(28595)

Question 102730: sum of the digit of two digit no. is 12. the given no. exceed the no. obtained by interchange the digit by 36. find the given no.
Click here to see answer by ankor@dixie-net.com(15656)

Question 102731: each side of a triangle is increased by 10 cm. of the ratio of the perimeter of the new triangle and the given triangle is 5:4. find the perimeter of given triangle.
Click here to see answer by edjones(7569)

Question 102846: Please help with this problem
Solve the linear systems by any method.
Eq 1 states: 1/3x - 3/4y = -1/2
Eq 2 states: 1/6x + 1/8y = 3/4

Click here to see answer by stanbon(57361)

Question 102855: Solve the system by addition method

Eq 1 states: .18x + .27y = .09
Eq 2 states: .06x - .54y = -.04
Click here to see answer by jim_thompson5910(28595)

Question 102842: 5x+4y=16
y=-16
Click here to see answer by jim_thompson5910(28595)

Question 102783: I'm confused, please help.
Solve the system by addition method:
Eq 1 states: .18x + .27y = .09
Eq 2 states: .06x - .54y = -.04
Thank you
Click here to see answer by jim_thompson5910(28595)

Question 102867: On a 50 question true-false test, a student received 3 points for each correct answer. For each incorrect aswer, the student lost 1 point. For uanswered question, no poits were added or deducted.
a. What is the best possible score
b. Find the worst possible score
c. Find the linear function that converts the raw score described above to a score from 0-100.
d. What score fom 0-100 corresponds to a test result of 38 correct, 4 incorrect, and 8 omitted.
Click here to see answer by stanbon(57361)

Question 102812: Hello, I was hoping that you could help me with the following question.
Solve
1/5[4(k+2)-(3-k)]=4
Thank You

Click here to see answer by scott8148(6628)

Question 102850: 1. explain why (5,-2) and (-2,5) do not represent the same ordered pair.

Click here to see answer by rapaljer(4667)

Question 102907: Please help

Click here to see answer by jayanthihemkos@yahoo.com(87)

Question 102960: Can someone help me understand this problem???
"There are 385 surfers in sufr City. two thirds of the boys are surfers and one-twelfth of the girls are surfers. if there are two girls for every boy, then how many boys and how many girls are there in surf city??
Click here to see answer by MathLover1(6634)

Question 103018: Hello, I need some assistance with this problem. Could you please help me with it?
3(a-5)+19=-2
Click here to see answer by stanbon(57361)

Question 103014: How do you find slope visually?
Click here to see answer by stanbon(57361)

Question 103072: I am having so much trouble understanding this problem. Please help!
Find the slope of the line through the given points. Also find the slope intercept form. Find the Y intercept and the X intercept for one of the points.
(-7/5, 3/10) and (1/5, -1/2)
Click here to see answer by stanbon(57361)

Question 102734: a steamer going downstream in a river covers the distance between two towns in 20 hour coming back upstream it covers this distance in 25 hours the speed of water is 4 km/h. find the distance between the two town.
(hint : first find the speed of steamer in still water.)
Click here to see answer by ankor@dixie-net.com(15656)

Question 103058: well my mean math teacher got mad at me so im stuck simplifing the equation 3x+2n=(4y-2+3x)
Click here to see answer by ankor@dixie-net.com(15656)

Question 103100: 5x-8=2x+7
Click here to see answer by doukungfoo(195)

Question 103136: kanchan receives a cdertian amount of money on her retirement from her employer. she give half of this money & an additional sum of Rs.10000/- to her daughter. she also gives one third of the money received & an additional sum of Rs.3000/- to her son. if the daughter gets twice as much as the son. find the amount of money kanchan received on her retirement.
Click here to see answer by HyperBrain(694)

Question 103144: determine the point of intersection algebraically
f(x)=-2x^ + 6x - 5, g(x)=-4x + 19
How do you solve this?
Click here to see answer by Fombitz(13828)

Question 103145: determine the point of intersection of each pair of functions
f(x)= -2x^-5x+20, g(x)=6x-1
Click here to see answer by srinivas(5)

Question 103178: Find two consecutive even integers such that the lesser added to three times the greater gives a sum of 46.
Click here to see answer by doukungfoo(195)

Question 103137: a motorboat covers a certain downstream in a river in 5 hours it covers the same distance upstream in five hour and a half the speed of the water is 1.5 km. find the speed of the boat in still water.
Click here to see answer by edjones(7569)

Question 102733: a motorboat covers a certain downstream in a river in 5 hours. it cover the same distance upstream in 5 hours and a half. the speed of water is 1.5 km. find the speed of the boat in still water.
Click here to see answer by edjones(7569)

Question 103128: in 1997, france was most visited country in the world and the US was the 2nd most most visited. a total of 116 million people visited one of the 2 countries . if 18 million more people visited france than the US, how many people visited each country...?

this was just actually given by our teacher..
Click here to see answer by edjones(7569)

Question 103214: Please help
2x=7y
Click here to see answer by elima(1433)

Question 103000: If you bought 850 Douglas firs and ponderosa pines and paid an average of $300 for douglas firs and $225 for ponderosa pines and the total you spent was $217,500 how many of each tree did you buy?
Click here to see answer by HyperBrain(694)

Question 103444: okay. today my teacher went over this, but I still do not understand it. She said to do something like a scale in science "whatever you do to this side, do to the other." but i still dont get it. HELP!!!
Click here to see answer by doukungfoo(195)

Question 103449: Theproblem is to solve these 2 equations by graphing.
Eq.1:x-y=4 I came up with the ordered pairs (4,0)(5,1) (6,2)
Eq.2: -x-y=6 The negative signs confuse me. How do I find the ordered pairs?
I don't have a problem with the actually plotting of the points, I just need help figuring out the pairs.
Please help!
Thanks,
Vicki
Click here to see answer by scott8148(6628)

Question 103615: The length of a rectangle is 3 inches more than the width. The perimeter of the rectange is 24 inches.
a.define variables
b.write the expression for the length in terms of the width
c.substitute what you know into the equation. Be sure you only have one variable
d.what is the length of the rectangle?
Click here to see answer by Fombitz(13828)

Question 103564: Solve the system by substitution. Help me please.
x + y = 12
y = 2x
Click here to see answer by ptaylor(2048)

Question 103695: 2x - y = 4
2x - y = 6
there is also a graph with this. help

Click here to see answer by jim_thompson5910(28595)

Question 103732: i know how to do linear combination, but i cannot get the right answer for this problem:
2x+y+52=2y+50
2x+y+52=x-3y+131
I need help finding x and y.
Thank you!
Click here to see answer by stanbon(57361)

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