Questions on Algebra: Systems of equations that are not linear answered by real tutors!

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Question 1749: Find the solution sets of the following equation: x+1/y+1=2
2x+1/2y+1=1/3
Click here to see answer by longjonsilver(2297)

Question 1783: find an equation for the line that passes through the points of intersection of the circles x^2+y^2=25, and x^2-3x+y^2+y=30 can you explain all the steps thanks
Click here to see answer by longjonsilver(2297)

Question 4397: Solve the following system of equations:
a + b +c = 9
ab + bc + ac = 26
abc = 24
answer is [a, b, c]=[2, 3, 4]
Thanks.
Click here to see answer by khwang(438)

Question 4452: Solve the following nonlinear system for x and y. Sketch a graph, showing the intersection points.
x + y = 7
x^2 + y^2 = 25

Click here to see answer by pushpaharan(47)

Question 4845: I'm stuck on this problem. I need it to be solved for me step by step.
Four oranges and five apples cost $3.56. Four oranges and three apples cost $2.76. Find the cost of an orange and the cost of an apple.
Click here to see answer by Abbey(339)

Question 4869: four oranges and five apples cost $3.56. Three oranges and four apples cost $2.76. find the cost of an apple and the cost of an orange.
Click here to see answer by jainenderkapoor(61)

Question 4868: Tyrone is twice as old as his daughter. In six years Tyrone's age will be three times what his daughter's age was six years ago. How old are they at present?
Click here to see answer by jainenderkapoor(61)

Question 4883: the perimeter of a rectangle is 160 ft. One fourth the length is the same as
twice the width. Find the dimensions of the rectangle.
Click here to see answer by jainenderkapoor(61)

Question 4880: The perimeter of a rectangle is 160 ft. One fourth the length is the same as twice the width. Find the dimensions of the rectangle.
Click here to see answer by longjonsilver(2297)

Question 4861: four oranges and five apples cost $3.56. Three oranges and four apples cost $2.76. find the cost of an apple and the cost of an orange.
Click here to see answer by Abbey(339)

Question 4991: translate to a system of equations and solve.
the sum of two numbers is 30. their difference is 40. find the numbers.
Click here to see answer by xcentaur(357)

Question 4986: determine whether the given ordered pair is a solution of the system.
#1
(6,-1); x-y=3
2x+5y=6
#2
(2,-3); 2x+y=1
x-y=5
#3
(-2,1); x+3y=1
2x-y=-5
#4
(-4,-1); x-y=3
x+y=-5
Click here to see answer by xcentaur(357)

Question 4993: translate to a system of equations and solve.
the sum of two numbers is 27. one half of the first number plus one third of the second number is 11. find the numbers
Click here to see answer by xcentaur(357)

Question 4994: translate to a system of equations and solve.

roberta is 25 years older than her daughter, Cindy. In four years, Roberta will be twice as old as Cindy. how old are they now?

Click here to see answer by xcentaur(357)

Question 5002: the sum of two numbers is 8. their difference is 12. find the numbers.
Click here to see answer by xcentaur(357)

Question 5005: one train leaves a station heading due west. two hours later a second train leaves the same station heading due east. the second train is traveling 15 mi/h faster than the first. six hours after the second train leaves, the two trains are 580 miles apart. find the rate at which each train is traveling.
Click here to see answer by xcentaur(357)

Question 5001: a motorboat traveled for 2 hours with an 8 km/h current. the return trip against the same current took 3 hours. find the speed of the motorboat in still water.
Click here to see answer by xcentaur(357)

Question 4997: determine whether the given ordered pair is a solution of the system of equations.
#1
(4,2); x-y=2
x+y=6
#2
(-8,-7); x-2y=6
2x-3y=5
Click here to see answer by longjonsilver(2297)

Question 5007: an airplane took 2 hours to fly 600km against a head wind. the return trip with the wind took 1 2/3 hours. find the speed of the plain in still air.
Click here to see answer by longjonsilver(2297)

Question 5024: a vending machine takes only nickels and dimes. there are 5 times as many dimes as nickels in the machine. the face value of the coins is $4.40. how many of each coin are in the machine?
Click here to see answer by Earlsdon(6287)

Question 5028: there were 429 people nat a play. admission was $1 for adults and $.75 for children. the receits were $372.50. How many adults and how many children attended the play?
Click here to see answer by Earlsdon(6287)

Question 5033: a jar contains 5-gram bolts and 10-gram bolts. the contents of the jar weigh 2.35 KG (1000g=1KG). if there are 300 bolts altogether, how many are there of each kind?
Click here to see answer by Earlsdon(6287)

Question 5032: there were 200 tickets sold for a college basketball game. tickets were $4.50 for students and $9 for adults. the total amount collected was $1485. how many of each type of ticket were sold.
Click here to see answer by NinangS(5)

Question 5004: tickets to a junior high school play cost $1.10 for each adult and $0.40 for each child. if 360 tickets were sold for a total of $282.60, how many tickets of each kind were sold?
Click here to see answer by NinangS(5)

Question 5000: solve using the addition method.
#1
x-y=6
3x+y=-2

#2
3x-4y=7
x+4y=5

#3
4x+5y=5
6x+7y=7

#4
2x+3y=13
3x-5y=10

#5
x+y=4
2x+3y=7

#6
8x-10y=2
7x-5y=13
Click here to see answer by NinangS(5)

Question 5003: a collection of dimes and guarters is $3.55. there are 25 coins in all. how many quarters are there?
Click here to see answer by lotanez(23)

Question 4996: a collection of dimes and quarters is worth $25. there are 40 more dimes than quarters. how many of each are there?
Click here to see answer by rapaljer(4667)

Question 4999: solve using the substituion method.
#1
y=6-x
2x-3y=22

#2
x+2y=5
x+y=2

#3
x+y=31
x-y=17

#4
7x+y=10
2y+5x=11

Click here to see answer by lotanez(23)

Question 5021: the sum of the digits of a two-digit number is 12. if the digits are reversed, the new number is 18 less than the original number. find the original number.
Click here to see answer by rapaljer(4667)

Question 5146: I think I did this one right
solve by factoring
5x^2-19x+18=0
5x^2-10x-9x+18=0
5x(x-2)-9(x-2)=0
x-2=0 5x-9=0
x=2 x=1/4
is this the correct ans.
Click here to see answer by rapaljer(4667)

Question 5145: this one I have tryed to work over and over just cant seem to get it
3 + 2 = 5
----------------
x-1 x+1 x^2-1
Click here to see answer by rapaljer(4667)

Question 5144: I tryed working this one it dont seem right
9n+5(n+3)=-(N+13)-2
9N+5N+15+N-11=0
15N+4=0
N=3/4
Click here to see answer by rapaljer(4667)

Question 5147: dont understand this one I can get the answer in my head but dont know have to write it in an equation. the ans. is 12
The sum of three consecutive even numbers is 36. Find the numbers.
Click here to see answer by longjonsilver(2297)

Question 5143: When a number is added to four times itself, the result is 24 more than three times the number. find the number.
Click here to see answer by guapa(62)

Question 5142: please help
The length of a rectangle is 4 centimeters less than twice the width. Find the dimensions of the rectangle if the area is 96 square centimeters.
Click here to see answer by guapa(62)

Question 5232: Solve the system:
2x+3y=10
-3x+2y=11
Click here to see answer by longjonsilver(2297)

Question 5168: I NEED HELP ASAP!
A motorboat traveled for 2 hous with an 8 KM/H. The return trip against the same current took 3 hours. Find the speed of the motorboat in still water.
THANKS IN ADVANCE
Click here to see answer by xcentaur(357)

Question 5462: my question is:
write the equation of a line that has a slope of 2/3 and passes through point (6,-3).
my answer was y+3=2/3(x-6)
is that right?
thanks for the help!
Click here to see answer by rapaljer(4667)

Question 5459: my question is:
find the coordinates of the midpoint of the line segment with endpoints (-3,6) amd (-1,9).
when i did this problem i got (-2,-3/2) is that right?
thanks for the help!
Click here to see answer by rapaljer(4667)

Question 5454: my question is:
write the equation in slipe-intercept form of a line having a y-intercept of -8 and a slipe of 3.

when i did the problem i came out with y=3x-8 but i'm not sure if thats right
could you help me? thanks!
Click here to see answer by rapaljer(4667)

Question 5455: my question is:
write the equation in slipe-intercept form of a line having a y-intercept of -8 and a slope of 3.

when i did the problem i came out with y=3x-8 but i'm not sure if thats right
could you help me? thanks!
Click here to see answer by Abbey(339)

Question 5472: I need to know how to graph
2x-7y=3
5x-4y=-6
And I also need to know how many solutions it has.
Could you please help me? thanks!

Click here to see answer by Abbey(339)

Question 5436: what is the x-intercept of the line with the equation 3x-4y=20?
a.3
b.3/4
c.-5
d.20/3
thanks for your help!
Click here to see answer by longjonsilver(2297)

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