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

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Question 363366: I need help on knowing how to solve linear systems in form of fractions.
the problem: (1/x+2) + (2/y+1) = 1
(4/x+2) + (9/y+1) = 13/3
i attempted the first equation
i multiplied the left side by (x+2) (y+1) and the right side as well.
so i got y+1+2x+4=xy+x+2y+2
then i subtracted x and y from both sides
5+x=xy+y+2
to get
xy+y-x-3=o
I do not know if this is correct, so i can't go on solving the problem because i don't know. Truthfully, im guessing at this point.

Click here to see answer by user_dude2008(1862)

Question 363306: using the elimination method how would you solve this:
2x+3y=-7
x-4y=-9
Click here to see answer by user_dude2008(1862)

Question 363407: 10x-15y=45
8x-20y=-40
Click here to see answer by vasumathi(46)

Question 363598: John says to Brenda, "if you give me seven dollars, we will have an equal amount of money." Brenda responds, "that may be true, but if you give me seven dollars, i will have one dollar shy of having twice as much money as you." How much money did John and Brenda each have? (Show as much work as possible)
Hint: When one person gets $7 the other one loses $7.

Click here to see answer by checkley77(12844)

Question 363716: My question is How do you know when an equation has no solution?
Click here to see answer by robertb(5830)

Question 363782: 7 < 1-2x ≤ 10
solve this and show on real line

Click here to see answer by robertb(5830)

Question 363872: 3.What is the solution to the system y> -2x + 2 and y > -2x + 5?
Click here to see answer by ewatrrr(24785)

Question 363868: whats the values for the equation 4x+6y=96
Click here to see answer by Alan3354(69443)

Question 363982: x-y+z=6
x+y+z=2
x+y-z=0
Click here to see answer by Sphinx pinastri(17)

Question 363993: Solve by the substitution method.
7x-9y=2
4x+32=y
Click here to see answer by amoresroy(361)

Question 363994: 7x - 9y = 2
4x + 32 = y
Solve by the substitution method.
Click here to see answer by Alan3354(69443)

Question 364394: solve for b where b^4 +13b^2 + 36 = 0
Click here to see answer by mananth(16946)

Question 364439: The points (2, 5) and (4, �1) are endpoints of the diameter of a circle.
(a) State the center of the circle.
(b) Find the length of the radius of the circle. (Note that this is a distance.) Show work.
(c) State the equation of the circle (in standard form). Note that you know the center and the radius from the previous parts.

Click here to see answer by Fombitz(32388)

Question 364438: Kate wants to prepare a snack mix comprised of peanuts and dried fruit. Peanuts cost $7 a pound and dried fruit costs $5 a pound. Kate wants to spend exactly $45 and prepare 8 pounds of her snack mix. How many pounds of peanuts should Kate purchase, and how many pounds of dried fruit should Kate purchase? Show work.
Click here to see answer by mananth(16946)

Question 364436: Given x=
x+7
_______
x^(2)-9
determine the domain.
A. All real numbers except �3 and 3
B. All real numbers except �7 and 3
C. All real numbers except �7, �3, and 3
D. All real numbers except 0

Click here to see answer by Fombitz(32388)

Question 364435: Find the slope-intercept equation of the line parallel to the line 12x + 3y = 15 and containing the point (�1, 7). Explain and show work.
Click here to see answer by Fombitz(32388)

Question 364485: Alex has 95 cents in dimes and nickels. The total number of coins is 1 more than twice the number of dimes. How many coins of each type does Alex have?
I can not figure out the two equations.
I know that one is Dx + Ny = 95
Click here to see answer by Fombitz(32388)

Question 364477: what are the linear equations of
2x+3y=24
x+2y=14
and
x+y=8
x+2y=14
Click here to see answer by Alan3354(69443)

Question 364516: Let f(x) = 3x^4 � 1. Which of the following is true?
A. f(-x)=-f(x)
B. f(-x)= f (x)
C. f(-x)=1/f(x)
D. None of the above

Click here to see answer by nerdybill(7384)

Question 364533: how do i set up the problem :
Audrey has 32 dimes and quarters in her piggy bank with a total value of 6.50. How many of the coins are dimes and how many are quarters?
I need to write 2 equations and solve by addition method
Click here to see answer by ewatrrr(24785)

Question 364515: Suppose you take a piece of cardboard measuring 8 inches by 8 inches, cut out square corners with sides x inches long, and then fold up the cardboard to make an open box. Express the volume V of the box as a function of x.
Click here to see answer by Alan3354(69443)

Question 364513: Let f(x)=1+ 4/x and g(x)= 2/x-8
find the composite function (fog)(x) Show work.

Click here to see answer by Fombitz(32388)

Question 364555: A helicopter flew 180 miles 1.5 hours with a tail wind. The return trip took 2 hours with a head wind. What was the speed of the helicopter in still air? What was the speed of the wind?
Click here to see answer by Alan3354(69443)

Question 364606: Okay, im working on solving linear equations by graphing.
here are my 2 problems:
7x+y=-17
and
3x-10y=24
I know that 7x+y=-17 would become y=-7x-17
but how would i solve 3x-10y=24?
Click here to see answer by ewatrrr(24785)

Question 365104: 3x+y =-6
4x +z=0
2y+z=-2
Click here to see answer by Alan3354(69443)

Question 365386: 3x-5y+z=8
47-z+10
7x+y=4
Click here to see answer by Alan3354(69443)

Question 365396: add the fraction q/q2+5q+6 and 1/(q+2)(q+3)
Click here to see answer by mananth(16946)

Question 365371: how do you solve the system of equations with these three equations?
x-y+z=8
x+y+z=6
x+y-z=-12
Click here to see answer by Fombitz(32388)

Question 365377: The chemist wants 100 gallons when complete. He is mixing a 24% solution with a 50% solution to get a 36% solution. How many gallons of each will he use?
Click here to see answer by mananth(16946)

Question 365467: 2 machines produce washers. The 1st machine can produce twice as many washers in one hour than the 2nd machine. If the 1st machine runs 2 hours and the 2nd machine runs 3 hours and 560 washers are produced, how many does each one produce in one hour?
Click here to see answer by ewatrrr(24785)

Question 365681: can you help me ?
y=-4
y=4
about tell the whether the lines for each equation are parallel,perpendicular,or neither

Click here to see answer by Alan3354(69443)

Question 366260: 3r-4s=5
4r+3s=15
Solve by elimination
Click here to see answer by Alan3354(69443)

Question 366314: The length of a rectangle is 3 more than its width. The perimeter of the rectangle is 58 centimeters. What are the rectangle's dimensions?
Directions: Write a system of equations to represent the situation. Then solve the system by substitution.

Please help me!!

Click here to see answer by mananth(16946)

Question 366256: convert x + 1/3 y = 0..... to y=mx+b format
Click here to see answer by robertb(5830)

Question 366327: if a linear function has a y-intercept of b, at what point does its graph cross the y-axis?
Click here to see answer by rfer(16322)

Question 366374: when solving an inequality, how do you know when to switch the sign?
Click here to see answer by nyc_function(2741)

Question 366416: how do I solve using the substituion method with the following equations. 3b-2a=4 and b/2-2a/3=1?

Click here to see answer by mananth(16946)

Question 366476: How do I solve this -x-y=-1 & -x-2y=-10
Click here to see answer by Jk22(389)

Question 366555: without actually solving the equation, list all possible numbers that would be rejected if they appeared as potential solutions. 1/x+5 - 1/x-5= 0
Click here to see answer by amoresroy(361)

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