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

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Question 126940: Given the system of equations 2x-4y=10 and 26x-52y=130
a.) How many solutions does the system have?
b.) Find the solution(s).
Click here to see answer by jim_thompson5910(28715)

Question 127041: I need help with what is the slope of the line passing through the given points
(-3,5)and (3,-2)
Click here to see answer by jim_thompson5910(28715)

Question 127040: I need help finding the distance between pair of points
(3,1), (-2,-2)
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Question 127059: Please help I am not understanding:
-6(x+1)+4=16
(-6x+6)+4-4=16-4=12
x=12
??
Thank you in advance
Click here to see answer by stanbon(57967)

Question 127125: I keep coming up with an false answer for this problem
.01x+3.1=2.03x-2.96
Click here to see answer by jim_thompson5910(28715)

Question 127163: I hope this is posted in the correct place. I need some help I do not understand how to do this. Thanks for any help you can give.
solve by elimination process and type an ordered pair.
4x - 9y = 14.5
7y - 2x = -8.5
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Question 127160: Requesting assistance writing an equation for the following problem:
4 tickets sell for $63.00
6 tickets sell for $91.00
Can an equation be written for calculating the cost of any number of tickts?
Thanks! Jon
Click here to see answer by josmiceli(9817)

Question 127281: 5. Solve for x:
(x – 7)/5 – 5/2 = (x + 9)/10

Click here to see answer by checkley71(8403)

Question 127280:

6. Translate to an algebra statement; do not solve:
Three times the difference of five and a twice a number yields the same result as the same number increased by four.

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Question 127277:
2. Combine like terms:
7x2 + 9x – 4x2 – 2 + 6x – 2x2 + 8

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Question 127272: 1. Name the property of real numbers illustrated below. Be specific with the naming (include “of addition” or “of multiplication,” if applicable).
7 + 13 = 13 + 7

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Question 127392: the mansfield tigers were playing the cougars on Friday Fight. Tickets wnet on sale at four o'clock on Thursday afternoon. Adult tickets sold for five dollars and student tickets cost 3.50. The total proceeds from Thursday's ticket sales were 155. if 37 tickets were sold on Thursday, how many were adult tickets and how many were adult tickets and how many were student tickets?
Click here to see answer by ankor@dixie-net.com(15746)

Question 127468: Using systems of equations(addition/elimination or substitution) solve this problem.
A Honda Accord gets approximately 26 mpg on the highway and 19 mpg in the city. Bill drove 349.5 miles on a full tank (16 gallons) of gasoline. Using a two equation system of equations, determine approximately how many miles were driven in the city and on the highway.
I tried dividing 349.5 by 16 gallons to get mileage and using the following equations. 26H + 19C = 21.84 and H + C = 349.50
Click here to see answer by josmiceli(9817)

Question 127882: Graph the system of 5x – 2y < 10, x + 2y > -2, x – y > -4
Where do I begin and how do I graph? I have been having a difficult time with graphing.

Click here to see answer by stanbon(57967)

Question 127890: graph y=4
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Question 127888: graph x=y
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Question 127896: graph x+y=0
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Question 127897: 3x-y=6
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Question 127910: graph x=-3
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Question 127908: graph y=2/5x-3
2/5 means 2 over 5
Click here to see answer by jim_thompson5910(28715)

Question 127908: graph y=2/5x-3
2/5 means 2 over 5
Click here to see answer by stanbon(57967)

Question 127907: y=x-1
2x-y=0
Click here to see answer by jim_thompson5910(28715)

Question 127912: graph y=-x+3
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Question 127913: graph y=1.5x
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Question 127913: graph y=1.5x
Click here to see answer by stanbon(57967)

Question 127914: graph y-x=1
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Question 127906: graph 3x-y=6
Click here to see answer by jim_thompson5910(28715)

Question 127916: y=1/5x-1
1/5 means 1 over 5
Click here to see answer by jim_thompson5910(28715)

Question 128013: I am attempting to solve the following system, I tried Substitution and addition but I can't seem to make it work:
3y=2x
2x+9y=24
Click here to see answer by josmiceli(9817)

Question 127894: I am SO confused on this one, i already tried to solve this but when i checked by substittuting, they weren't equal.
Solving Systems by Substitution:
a = 2/b - 3
a = 2b - 18
I'm supposed to find the solution as a point like: [2,-4] but i have no idea if the a or b is x. Please help me with this!
I tried this: 2/b-3=2b-18 thats all i know that im pretty sure is right then times 2 on both sides -3=4b-18 then add 18 and -15=4b divide by 4 and thats 3.75 but when i put that into the other equation like 2*3.75 thats -10.5 and the final was -10.5 = 2/3.75 - 3 and thats -10.5 = .5 - 3 which is -10.5 does not equal -3.5 Im so confused and don't know what i did wrong!
THANK YOU SO MUCH
Click here to see answer by ankor@dixie-net.com(15746)

Question 128344: Solving a linear equation with several occurences of the veriable problem type 2
5x+7/3=1/3x-7/2. How can I solve this question
Click here to see answer by stanbon(57967)

Question 128354: 26. 10m-9n=15 27. 3c-7d= -3 28. 6g-8h=50 30. 3x= -31+2y
5m-4n=10 2c+6d= -34 4g+6h=22 5x+6y=23
Click here to see answer by jim_thompson5910(28715)

Question 128506: write each equation in slope intercept form. Then find the slope and the y-intercept of the line determined by the equation.
- 2 (x + 3y) = 5
Click here to see answer by josmiceli(9817)

Question 128505: write each equation in slope intercept form. Then find the slope and the y-intercept of the line determined by the equation.
- 2 (x + 3y) = 5
Click here to see answer by checkley71(8403)

Question 127782: find the slope of the line that passes through the given points
(3,f(3)) and (3+h,f(3+h))
Click here to see answer by solver91311(17077)

Question 128712: How Do You Fully Factorise y squared-7x+10?
I Have Gotten As Far As y squared -5x-2x+10
Click here to see answer by Earlsdon(6294)

Question 128751: Mary has a $90 gift certificate for a book store where paperbacks cost $9 and hardback books cost $12. She must spend at least $25 and no more than $90 to use the gift certificate. Write a system of inequalities to determine the formula for using the gift certificate.
I came up with 9x + 12y is less than or equal to 90; and 9x + 12y is greater than or equal to 25. Is that correct?

Click here to see answer by checkley71(8403)

Question 128898: without graphing, determine which of the following 3 points:
P1 = (8,6)
P2 = (2,5)
P3 = (4,1)
are part of the graph of the following system:
y - 10x <= 0
2y - 3x >= 0
y + x <= 15
Click here to see answer by solver91311(17077)

Question 128901: Transpose this augmented matrix:
[ 1 8 7 9 ]
[ 0 2 5 1 ]
[-4 -1 0 17]
Click here to see answer by solver91311(17077)

Question 128888: this is parallel to y=-3x+2, but passes through the point (1,-2)
Click here to see answer by checkley71(8403)

Question 128956: Is (-1,5)a solution of each system?explain.
x+y=4
x=-1
Click here to see answer by tutorcecilia(2152)

Question 128956: Is (-1,5)a solution of each system?explain.
x+y=4
x=-1
Click here to see answer by MathLover1(6812)

Question 129096: I hope I'm asking this question in the right section. It states to solve algebraically.
y = 1.2x - 32.7
y = 0.7x + 46.15
Thanks for your help!
Click here to see answer by stanbon(57967)

Question 129249:

x+y=14 x-y=20
Click here to see answer by checkley71(8403)

Question 129263: 6x+2y=-10
2x+2y=-10

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