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

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Question 704704: How do you find a common solution when y=mx+b and y=mx+b aren't given?
So when you are given x=3y and 3x=y+8 how are you supposed to solve to get the common solutions ordered pair?
Click here to see answer by checkley79(3341)

Question 704956: How many solutions are there to the equation |x| = 7 and what are they?
Click here to see answer by jim_thompson5910(35256)

Question 704969: In the linear system 2m+5n=14 2m-3n=6, how do I solve? Which variable should I solve for?
Click here to see answer by jim_thompson5910(35256)

Question 704975: In the linear system 2m+5n=14 2m-3n=6, how do I solve using the substitution method? Which variable do you recommend I begin with?
Click here to see answer by stanbon(75887)

Question 705167: Michael is 6 years older than Monique. In 3 years the sum of their ages will be 54. How old is Michael now?
Click here to see answer by josgarithmetic(39617)

Question 705331: solve using elimination method
x+y=2000
0.06x+0.08y=144
Click here to see answer by solver91311(24713)

Question 705363: Find values of a and b so that the linear system shown has a solution of (-9,4).
ax+by=-16
ax+by=-56
Click here to see answer by jim_thompson5910(35256)

Question 705371:
Laura has $4.50 in dimes and quarters. She has 3 more dimes than quarters. How many quarters does she have?
Click here to see answer by checkley79(3341)

Question 705368: A group of friends takes a day-long tubing trip down a river. The company that offers the tubing trip charges $15 to rent a tube for a person to use and $7.50 to rent a "cooler" tube, which is used to carry food and water in a cooler. The friends spend $360 to rent a total of 26 tubes. How many of each type of tube do they rent?
Click here to see answer by checkley79(3341)

Question 705366: During a football game, the parents of the football players sell pretzels and popcorn to raise money for the new uniforms. They charge $2.50 for a bag of popcorn $2 for a pretzel. The parents collect $336 in sales during the game. They sell twice as many bags of popcorn as pretzels. How many bags of popcorn do they sell? How many pretzels do they sell?
Click here to see answer by checkley79(3341)

Question 705399: -x+y=4
3x-2y=-7

Click here to see answer by solver91311(24713)

Question 705526: Hi, I am trying to solve this system of equations: 2x+y=8
6x+y=3
And so far, I have tried to solve it like this, but it led me to the wrong answer.
2x+y=8
+6x-y=8
8x/8=8/8
x=1
Then, I went back and input x into an original equation.
2(1)+y=8
2+y=8
y=6
So, this led me to the wrong answer.Thanks if you could help.
Click here to see answer by mananth(16946)

Question 705589: Hi,
I was struggling with a specific algebra problem and I was wondering if you could help?
I have to find the solution to the system of equations.
x+2y=3
x - y = 6
Thanks!
Click here to see answer by Alan3354(69443)

Question 705617: I dont know what to do to solve a linear equation that has no numbers.
Can you help me solve the following:
ax-x = c
Click here to see answer by stanbon(75887)

Question 705721: Is this a direct variation? 8x + 9y=10
Click here to see answer by stanbon(75887)

Question 705816: 8x-15=5x
5x 5x
13x=-15
x=13/15
Click here to see answer by Alan3354(69443)

Question 705865: Write an equation in standard form using only integers for a line perpendicular to y=9x+5 and containing (5,4).
Click here to see answer by josgarithmetic(39617)

Question 705919: one of my equations says x+2y=2. My mind went blank.. how do I get y alone?
Click here to see answer by solver91311(24713)

Question 705919: one of my equations says x+2y=2. My mind went blank.. how do I get y alone?
Click here to see answer by josgarithmetic(39617)

Question 705931: My sister is having trouble with her math, and her teacher won't help her. I think this is a linear equation. In standard form already. It is confusing us.
The problem is
4x+y=0 Standard Form, y-intercept
A=4 B=1 C=0
Her teacher did
4x+1y=0
-4x -4x
y= -4/1+0 (The / here means over) for y-intercept she had m=-4/-1 b=0 HOw does this work? She doesn't believe in doing it any other way, but her way could someone please help us out here? Please explain, and another thing the teacher doesn't believe in subtraction.
Click here to see answer by jim_thompson5910(35256)

Question 705975: I previously asked how to get y alone on the equation x+2y=2. Would y= 1/2-x be the correct answer?
Click here to see answer by Alan3354(69443)

Question 705982: x+3=7
3x+4y=7
Click here to see answer by Alan3354(69443)

Question 706452: solve the system of linear equations using the substitution method
2x-y=8
7x-3y=27
Click here to see answer by filboi(35)

Question 705949: how do i decide whether the graphs of the two equations are parallel lines
y=2x-12
6x+3y=0
Click here to see answer by filboi(35)

Question 706535: Solve each system

Click here to see answer by Edwin Parker(36)

Question 707065: y=2x+1
Click here to see answer by jim_thompson5910(35256)

Question 707248: How do I change y less than or equal to 1 - x to slope intercept form?
Click here to see answer by jim_thompson5910(35256)

Question 707390: solve the linear system by graphing 2y=-3x-6 x+2y=2
Click here to see answer by jim_thompson5910(35256)

Question 707987: with a tailwind, a bird flew at a ground speed of 3 miles per hour. flying the same path against the same wind, the bird travels at a ground speed of 1.5 miles per hour. what is the bird's air speed? what is the wind speed?
it would be greatly appreciated if you showed the work.
thanks for all your help
Click here to see answer by stanbon(75887)

Question 708054: wihtout solving, decide which meathod you would use to solve each system: graphing, substitution, or elimination. explain.
y=3x-1
y=4x
and
4s-3t=8
t=-2s-1
thanks for the help :)
appriciated
Click here to see answer by stanbon(75887)

Question 708059: in a chemistry lab, you have two vinegars. one is 5% acetic acid, and one is 6.5% acetic acid. you want to make 200 ml. of vinegar with 6% acetic acid. how many milliliters of each vinegar do you need to mix together?
please show work
it would be greatly appreciated
thanks :)
Click here to see answer by josgarithmetic(39617)

Question 708040: find A and B so that the system below has the solution (2,3)
Ax-2By=6
3Ax-By=-12
thanks for all the help :)
appriciate it
Click here to see answer by josgarithmetic(39617)

Question 708263: This is systems by elimination and i was out sick for a week and a half i have no clue whee to even start. Please help :(
-7x-3y=12
9x+3y=-12
Click here to see answer by jsmallt9(3758)

Question 708288: i apologize if i put this in the wrong section. i have no idea where to even start

find two consecutive even integers such that the sum of the smaller integer plus twice the larger integer equals 58
Click here to see answer by josmiceli(19441)

Question 708471: a group of 52 people attended a ball game. there were three times as many children as adults in the group. determine the number of children who were in the group.
Click here to see answer by solver91311(24713)

Question 708476: Hello, I need help with a uniform motion problem. I have tried different solutions and it is not the answer my book is offering.
Problem:
A speeding car traveling at 80 mph passes a police officer. Ten seconds later, the police officer gives chase at a speed of 100 mph. How long, in minutes, does it take the police officer to catch up with the car.
Book Answer:
2/3 of a minute
My work:
Well I use the four box method. So it looks something like this
First time rate * time = distance
Speeding car 80 x+10 80(x+10)
Police Car 100 x 100x
80(x+10)=100x
80x+800=100x
800=20x
40=x Incorrect to the book answer
Second time rate * time = distance
Speeding car 80 x 80x
Police car 100 x-10 100(x-10)
80x=100(x-10)
80x=100x-1000
-20x=-1000
x=50 Incorrect to the book answer
Then calculate for the police car by subtracting 10 gives you 40
This left me thinking if it is to the book answer maybe I need to use .1 instead of 10 because it is 10 seconds not minutes.
Third time rate * time = distance
Speeding car 80 x+.1 80(x+.1)
Police car 100 x 100x
80(x+.1)=100x
80x+8=100x
8=20x
8/20=x Then reduce by 4
2/5=x Again incorrect according to the book answer
So just to try it I flipped it again.
Fourth time rate * time = distance
Speeding car 80 x 80x
Police car 100 x-.1 100(x-.1)
80x=100(x-.1)
80x=100x-10
-20x=-10
x= 10/20
x=1/2 Then substitute 1/2-.1 or 1/2-1/10 = 5/10-1/10=4/10 reduce
x-.1=2/5 still an incorrect answer.
Click here to see answer by solver91311(24713)

Question 708555: This problem has me stumped for I cannot figure out how to line up my numbers in my four box table.
Problem:
Two cars are 310 mi apart and are traveling toward each other. One car travels 8 mph faster than the other car. The cars meet in 2.5 h. Find the speed of each car.
Click here to see answer by josgarithmetic(39617)

Question 708619: for each equation complete the solution
y= x/4 + 9 (16, )
Click here to see answer by stanbon(75887)

Question 708628: find the equation of the line that is parallel to the equation: 3y=4x-15, and contain the point(6,1)
Click here to see answer by josgarithmetic(39617)

Question 708797: I need to answer the following question:
Identify the solution(s) of the system of equations if any.
x=1
y=1
no solutions
(0,0)
(1,1)
infinitely many solutions

I see the ordered pair as (1,1) but no system of equations to plug-in variabes to determine if the ordered pair is a true statement, leaving me confused on how to answer this question.
Thank you

Click here to see answer by KMST(5328)

Question 708691: A department store held a sale to sell all of the 214 winter jackets that remained after the season ended. Unitl noon, each jacket in the store was priced at $31.95. At noon, the price of the jackets was further reduced to $18.95. After the last jacket was sold, total receipts for the clearance sale were $5108.30. How many jackets were sold before noon and how many were sold after noon?
Make a system to solve.
Click here to see answer by KMST(5328)

Question 709077: X-y=3
X+y=5
Click here to see answer by Alan3354(69443)

Question 709160: Find an equation of the line perpendicular to x=-6 and passing through (4,7).
I know my slope is 1/6 and then I put it into point slope form
y-7=1/6(x-4)
I solve that to get it into slope intercept.
y-7=1/6x-4/6
y=1/6x-4/6+7/1(6/6)
y=1/6x+38/6 <----my answer.
Am I doing this right?

Click here to see answer by jim_thompson5910(35256)

Question 709223: Solve the following inequality. Write the solution set using interval notation

8-(5x-2)greater than or equal to -6(x+1)-6
Click here to see answer by jim_thompson5910(35256)

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