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

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Question 769000: is the system inconsistent dependent or neither?
Is graph parallel, intersecting lines, or one line?
Does system have one solution, no solution, or infinite number?
x-y=2
4x=5y+7
Click here to see answer by Alan3354(69443)

Question 769027: when solving a linear system such as this one: 9x-7y=31
-9x+3y=-39
how do you do it? I know its a simple problem but i'm confused on what to subtract or add.
Click here to see answer by Alan3354(69443)

Question 768947: Last year, Melissa had to $30000 invest. She invested some of it in an account that paid 6% simple interest per year, and she invested the rest in an account that paid 9% simple interest per year. After one year, she received a total of $1980 in interest. How much did she invest in each account?
Click here to see answer by mananth(16946)

Question 769303: X-intercepts?
Click here to see answer by MathLover1(20850)

Question 769350: x/(a-1)= ax+3, solve for x.
Click here to see answer by lwsshak3(11628)

Question 769107: One number is 17 less than another; their sum is 125. What are the numbers?
Click here to see answer by Cromlix(4381)

Question 769497: the sum of two numbers is 38. three times the smaller number exceeds the larger number by 30. find the numbers

Click here to see answer by 55305(86)

Question 770111: 3x+2y-2z=14
2x-5y+3z=7
4x-3y+7z=5
Click here to see answer by Cromlix(4381)

Question 770111: 3x+2y-2z=14
2x-5y+3z=7
4x-3y+7z=5
Click here to see answer by Alan3354(69443)

Question 770158: y=3x
4x-y=2
Click here to see answer by tommyt3rd(5050)

Question 770158: y=3x
4x-y=2
Click here to see answer by MathLover1(20850)

Question 770163: solve application problem- system of linear equations in 3 variables
x=children $3
y=students $4
z= adult $5
1,000 tickets were sold for a play, which generated $3,800 in revenue. The ticket prices were $3 for children, $4 for students, & $5 for adults. There were 100 fewer student tickets sold than adult tickets. Find the number of each type of ticket sold.
x+y+z=1,000
3x+4y+5z=3,800

y=z-100
y-z=-100
Click here to see answer by josgarithmetic(39617)

Question 770172: find the solution of the system of linear equation
2x+4y=4
2x-4y=8
Click here to see answer by oscargut(2103)

Question 770172: find the solution of the system of linear equation
2x+4y=4
2x-4y=8
Click here to see answer by jim_thompson5910(35256)

Question 770203: find the solution of the system linear equation given below
y-z=6
x+z=-1
Click here to see answer by Alan3354(69443)

Question 770654: a student can type 174 words in 3 minutes and 348 words in 6 minutes. how many words can the student type in 8 minutes
Click here to see answer by tommyt3rd(5050)

Question 771089: Hi, could you please explain how to work problems like this, I do not know much about this type of algebra but I am trying to learn.

5) y = -x - 7 (-6, )

6) y = 2x - 5 (-6, )

7) 2x + y = -9 ( , -1)

8) 4x + y = -19 ( , 5)

Click here to see answer by solver91311(24713)

Question 771354: 3x-y=18
x+2y=13

Solve use elimination method
Click here to see answer by oscargut(2103)

Question 771479: Simultaneous equation
Exercise 7: solving problem using simultaneous equation
Q7:
Challenge:
Jacob travels from A to B, a distance of 410 km over 9 hours. Some of the time (say x hours) Jacob travelled at a speed of 50 km/h, and for the rest of time (say y hours) he travelled at 40 km/h.
Find the number of hours he traveled at 40 km/h.
Please help and solve my problem. I need your solving and the answer. Please. I got stuck in 2 days ago.
Click here to see answer by ramkikk66(644)

Question 771599: factor: 7xy^2 plus 21x^2yz^3
Click here to see answer by Alan3354(69443)

Question 771598: factor:6x^3y^2Z^3 plus 18xy^3z^2
Click here to see answer by Alan3354(69443)

Question 771614: y^2 + (x - 88)^2 = 400
Click here to see answer by MathLover1(20850)

Question 771635: I need help in writing a second equation so that the system has (-3,-3) as its only solution. The first equation in the system is y-4=3x+2. I have no idea how to solve this problem, or where to start.
Click here to see answer by Alan3354(69443)

Question 772012: Find the missing coordinate.
(-3,_______) is a solution of y= 4-3x.
Click here to see answer by jim_thompson5910(35256)

Question 772027: -20= -4x - 6x
Click here to see answer by tommyt3rd(5050)

Question 772027: -20= -4x - 6x
Click here to see answer by oscargut(2103)

Question 772030: My instructions say to graph the linear system & estimate the solution. Then check the solution algebraically. (Y equals form) & graph & tell the solution. I know the y form is obviously y=mx+b form. But I don't know how to get it in that form.
3x+5y=-4
2x-y=-7
Click here to see answer by josgarithmetic(39617)

Question 772078: a rancher drove 40km/h on the gravel road to the highway, on which she traveled at 60 km/h until she reached a city that was 110 mmm from home. if the trip took 2h, how far was the ranch from highway?
Click here to see answer by josgarithmetic(39617)

Question 772325: Can You Please Solve This Equation For Me I'm Trying To Out If My Answer Is Correct.
1+3x-x=x-4+2x
Click here to see answer by KMST(5328)

Question 772492: how do you do 6(3 to the x power)=7

Click here to see answer by solver91311(24713)

Question 772507: 5(3-x)=3-2(2x-1)
Click here to see answer by rfer(16322)

Question 772550: can some one help me with this subsituion problem please its driving me crazy i can get my problem to balance out
Solve this system by substitution:
2x - 5y = -18
3x + y = 7
(Note: your handwork must show the correct method.)
x of solution (nearest integer):
y of solution (nearest integer):
Click here to see answer by solver91311(24713)

Question 772922: I need help trying to solve this problem.....I just don't understand how to set up the problem to solve. Thank you!
On a trip to take your brother to college, you and your parents travel 70 miles per hour on the way there and 55 miles per hour on the way home. The trip home took one hour more than the trip there. The total distance for the round trip was 805 miles. How many hours did it take for the whole trip?
Click here to see answer by Alan3354(69443)

Question 772889: The difference of two numbers is 36. The larger is 6 less than 4 times the smaller. What are the two numbers?
Click here to see answer by rfer(16322)

Question 773127: Write an equation of the line with the given slope and the given y-intercept. Leave the answer in a slope-intercept form, Slope-2/3, y-intercept (0,5)
Click here to see answer by Tatiana_Stebko(1539)

Question 773139: I'm stuck on a problem in my algebra test.
-
Solve each system of equations.
-
5x = -15
-11x - 4y + 7z = 1
3x - 3y + z = 1
-
A) x=3, y=-19, z=41
B) x=42, y=-33, z=-13
C) x=-45, y=-14, z=-40
D) x=-3, y=-7, z=1
E) x=-3, y=-6, z=-8
F) x=38, y=22, z=-26
-
I know that x = -3, and I've tried substituting this into the other two equations, then solving one into the other, but it doesn't match any of the answers! Could I have some help? Thank you for your time!
Click here to see answer by Edwin McCravy(20056)

Question 773700: Find 3 consecutive numbers whose sum is 20 more than the second number
Click here to see answer by ramkikk66(644)

Question 773700: Find 3 consecutive numbers whose sum is 20 more than the second number
Click here to see answer by Menjax(62)

Question 773699: 2y=3x+16 2x=+3y=11

Click here to see answer by Alan3354(69443)

Question 773925: Please help me:
Ramon is six years older than Mark. In four years, Mark will be as old as Ramon. What are their present ages?
I don't know how to solve this but when I tried, the result is:
Ramon = 2 years old
Mark = -4 years old.
Which I knew was wrong.
I hope you can help me. Thanks.
Click here to see answer by jim_thompson5910(35256)

Question 773927: A riverboat can travel 30km downstream in 3 hrs & can make the return trip in 5 hrs. Find the speed of the boat and the speed of the current.
Click here to see answer by josgarithmetic(39617)

Question 772876: Adult tickets for a play cost $16 and child tickets cost $6. If there were 25 people at a performance and the theater collected $260 from ticket sales, how many adults and how many children attended the play?
Click here to see answer by Cromlix(4381)

Question 773831: Can you please solve the system of 4x-2y=9 and y=2x+5 ? Can you also please solve the system 4x-y=8 and 2x-4=3y ? Thanks
Click here to see answer by oscargut(2103)

Question 774035: Solve the linear system of equations.
x-3y= -6
5x+3y= 42
So far I have tried;
y=1/-3x+2
5x+3y(1/-3x+2)=42
Not sure if that is right so far or if I am completely wrong and either way I am not sure where to go from there.
Help is much appreciated, thank you!
Click here to see answer by josgarithmetic(39617)

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