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

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Question 577136: x+y=10
x-y=2
Click here to see answer by jim_thompson5910(35256)

Question 577131: Explain Systems of linear Equations for a dummie
Click here to see answer by Alan3354(69443)

Question 577196: How do I solve the following:
Adult tickets for a play cost $25 each and children's tickets cost $15 each. The total receipts were $7,200 and the total attendance was 400. How many adults and how many children attended?
I set up the system as:
25x+15y=7200
x+y=400
I then tried to substitute the second equation into the first as x=400+y, which gave me y=-175. That's where I knew I was wrong, but I don't know what else to do. And I can see this questions been asked but I'm having a very hard time following them.
Click here to see answer by scott8148(6628)

Question 577199: How do you identify whether the graph of a system of linear equations would be two intersecting lines, two distinct parallel lines, or two coincident lines?
Click here to see answer by josmiceli(19441)

Question 577689: can you help me find an equation in slop-intercept from that passes through the given point and is parallel to the given equation.?
Well:
1.(5,2), y=(4/5)x+2
2.(-3,5), 3y+6x=-18
3.(2,-2), 2y=3x+6

Click here to see answer by mananth(16946)

Question 577612: In three days Carter drove 2196 miles in 36 hours behind the wheel. The first day he averaged 64 mph, the second day 62 mph, and the third day 58 mph. If he drove 4 more hours on the third day than on the first day, then how many hours did he drive each day?
Here is what I have so far:

Let x= hours day 1
Let y= hours day 2
Let z= hours day 3
x+y+z=2196
day 1= 64x
day 2= 62y
day 3= 58z
z= x+4
64x+62y+58(x+4)=2196
64x+62y+58x+232=2196
and then
122x+62y=1964
and after that I am completely stuck...

Click here to see answer by mananth(16946)

Question 577784: find the vertex of the parabola
y=-3(x+1)^2
Click here to see answer by lwsshak3(11628)

Question 577905: b/120+b*2=1/3
Click here to see answer by Alan3354(69443)

Question 578099: solve the following simultaneous equation by using cramer's rule
3x+2y=13
2x-y=4
Click here to see answer by Edwin McCravy(20056)

Question 578234: Please help me solve this linear system using the elimination method: 2x-3y=2
-5x+2y=-16
My work: 2x-3y=2 ..... 5(2x-3y=2)= 10x-15y=10
........-5x+2y=-16 ... 2(-5x+2y=-16)=-10x+4y=-32
...........................................-11y=-42...-11/-11= y...-42/-11=3/4
Answer I got: y=3/4 One Solution

I have tried multiplying it like this: 5(2x-3y=2) and 2(-5x+2y=-16) to get rid of x, then I subtracted: -15y=10 and 4y=-32 and got -11y=-42, and to get y by its self, i divided -11 by -42 and it left me with y=3/4 and it's a one solution
But I am not sure if this is correct.

Click here to see answer by jim_thompson5910(35256)

Question 579088: I need help with system of equations, I have a question on my homework it is, "A rectangle has a perimeter of 36 cm. Its width is 4 cm less than its length. Find the length and width of the rectangle."
I need to label the variables and create 2 equations, So far i have x=width y=length and 1 equation x=36-4.
I need help with the second equation. I hope this wasn't to long of a question. Thank you!
Click here to see answer by mananth(16946)

Question 579132: I'm not sure what to do here... Can I get some help?

Solve using the substitution method.
5x - 3y = 8, -5x + y = 4
Click here to see answer by mananth(16946)

Question 579132: I'm not sure what to do here... Can I get some help?

Solve using the substitution method.
5x - 3y = 8, -5x + y = 4
Click here to see answer by josmiceli(19441)

Question 579194: im having a very hard time figuring out how to do the substitution method the problem that im stuck on is x=5+y then the second part of the equation is 2x-3y=7 but im stuck because i dont understand how to do it

Click here to see answer by rfer(16322)

Question 579183:
I could really use some help with this one... it's left me stumped...
Solve each system graphically. Be sure to check your solution. If the system has an infinite number of solutions, use set−builder notation to write the solution set. If the system has no solution, state this.
2x − 3y = 6, 3y − 2x = −6

Click here to see answer by KMST(5328)

Question 579372: how do you solve for x and y
-x+4y=-14
-2x-4y=44
Click here to see answer by dfrazzetto(283)

Question 579401: URGENT!!! PLEASE SOLVE! Solve the system of equations. Make sure to check your solution.
y = 1/3x + 10
x = 3y + 6

Click here to see answer by stanbon(75887)

Question 579434: How do you solve and graph this? Please HELP!!
y-3=3(x-2) and y=6x-12
Click here to see answer by KMST(5328)

Question 579893: y-x=3x
2(x+y)=14-y

3a+6b=-15
a=-2b-5
pls. solve by substitution
Click here to see answer by mananth(16946)

Question 579932: When using the addition method, I don't understand how to solve this problem:
4x+5/2y=11
3x-4/3y= -11
I did what my textbook suggested and tried to eliminate fractions, but ended up with something even more difficult:
24x+15y=11
18x-8y= -11
Please help I'm not sure what I should do!
Christina
Click here to see answer by mananth(16946)

Question 580030: 6x+5y=-33
3x+2y=-15
Solve by addition method. How is this done when a variable is not canceled out? What is the solution set?
Click here to see answer by Alan3354(69443)

Question 580217: what is the value of x and y and what are the steps taken???
x+3y=23
-x+4y=12
Click here to see answer by jim_thompson5910(35256)

Question 580321: An airplane flew for 6 hours with a 22-km/h tail wind. the return flight against the same wind took 8 hours. find the speed of the plane in stil air. how do i set up this equation?
Click here to see answer by mananth(16946)

Question 580339: I need help with solving 3x+y=-8 and -2x-y=6 by substitution.
Click here to see answer by mananth(16946)

Question 580387: 5y=7x+22
x=-6y+17
Click here to see answer by mananth(16946)

Question 580613: Solve the following simultaneous equations by using Cramer�s rule

3x+2y=13
2x-y=4
Click here to see answer by mananth(16946)

Question 580629: im brandon, the question i have is for algebra A. Its solving systems using substitution, problem is Y=x-4 and 2x-5y=2 . can you explain how to do this .
Click here to see answer by mananth(16946)

Question 580638: im brandon, i need help with substitution. problem is x-2y+2=0 and 2x-3y-2=0. i dont understand this one. please help?
Click here to see answer by Alan3354(69443)

Question 580926: how do i y=2x and x+y=12 by solving system of equations by the substitution method?
Click here to see answer by stanbon(75887)

Question 580973:
Click here to see answer by fionahayes05(1)

Question 581111: could you show me how to do this problem 9-4m=19
Click here to see answer by Alan3354(69443)

Question 581111: could you show me how to do this problem 9-4m=19
Click here to see answer by algebrahouse.com(1659)

Question 581128: I need help setting up this Linear Equation: While on vacation, Kevin went for a swim in a nearby lake. Swimming against the current, it took him 8 minutes to swim 200 meters. Swimming back to shore with the current took half as long. Find Kevin's average swimming speed and the speed of the lake's current.
Click here to see answer by dfrazzetto(283)

Question 581378: How do you write 2x+3y=30 in standard form with integer coefficients

Click here to see answer by algebrahouse.com(1659)

Question 580809: Determine whether the lines are parallel,perpendicular,neither,unknown or impossible to say.7x+2y=14;7y=2x-5

Click here to see answer by KMST(5328)

Question 581506: through (2,-5), slope=-3/2
Click here to see answer by rfer(16322)

Question 581554: y=3(X+5)(x-2) help me solve thanks
Click here to see answer by josmiceli(19441)

Question 581618: Subject: Math-using addition to solve a system of linear equations
1. x+y=12
x-y=4
Click here to see answer by jim_thompson5910(35256)

Question 581785: IT took 3 hours to row a boat 18 km against the current. The return trip with the current took1 1/2 hours. Find the speed of the rowboat in still water.
Click here to see answer by Alan3354(69443)

Question 582269: Please set this up as y=mx+b: Discount Cell Phones charges $19.99 per month and $0.15 per text message.....thank you
Click here to see answer by richard1234(7193)

Question 582251: write the equationof a line that goes through points -4, 3 and 3, 7 in oint-slope form
Click here to see answer by mananth(16946)

Question 582461: Please help me. I want to know if my answer is correct.
Which of the following is/are correct?
My answer is none are correct because the answers are not 1 over the square roots
A) if u = (u1, u2) with ui not equal to 0 for all 1 < or equal to i < or equal to 2... then the unit vector in the direction of u is (u1, u2)
B) if u = (1, 2, 3) then the unit vector in the same direction of u is (1, 2, 3)
Click here to see answer by solver91311(24713)

Question 582763: Hi!! Could you help me solve this linear system using elimination? Please?!
x+y=2
2x+7y=9
I tried to solve it myself, and I got (-.5,2.5) i checked the selected answers in the back of the book and found out the answer is (1,1). Could you help me sove this step by step please?!
THANK YOU!!!!
Click here to see answer by jim_thompson5910(35256)

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