Question about Bagatrix Algebra Solved! 2005 (105101) for PC

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4x+8y=20 -4x+2y=-30 - Bagatrix Algebra Solved! 2005 (105101) for PC

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  • rocelyn Mar 10, 2009

    4x+8y=20
    -4x+2y=-30

  • Anonymous Apr 15, 2009

    2x-8y=20

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4x+8y=20 || /4
x+2y=5
x=5-2y

-4x+2y=-30 || /2
-2x+y=-15
-2(5-2y)+y=-15
-10+4y+y=-15
5y=-5
y=-1

x=5-2y || y=-1
x=5-2(-1)
x=5+2
x=7

Posted on Mar 10, 2009

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SOURCE: solving systems of equations by elimination

x=7
y=-1

Posted on Feb 17, 2009

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Why is it flashing code 8Y?


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8x + 3y = 3 4x + 5y = -23


This is best written as two separate equations:

8x+3y = -23 and 34x+ 5y = -23
Solving the first one for x:
8x = -23-3y
x = -23/8 - 3/8y
Substituting this value for x into the second equation:
34(-23/8 - 3/8y) + 5y = -23
-97.75 - (34)(.375)y + 5y = -23
-97.75 - 12.75y + 5y = -23
-97.75 -7.75y = -23
-7.75y = 97.75-23=74.75
y = -74.75/7.75 = -9.645161
Substitution back into the equation for x:
x = -23/8 - 3/8(-9.645161)
x = -2.875 + 3.616935
x =.741935

Dec 12, 2014 | Bagatrix Algebra Solved! 2005 (105101) for...

1 Answer

What is the value of x in this equation : 6x+21+4x=-9


Dear Anne I am old school but I think it works lide this..

6x+21+4x=-9

so add 9 to both sides

6x+30+4x=0

so 6x+4x+30=0

so 10x+30=0

so x= -3

I hope this helps.

Oct 09, 2011 | Office Equipment & Supplies

1 Answer

$36 on hand. coins are in .25, .10 and .05 denominations. 4 times as many .05 coins as .25 coins and the number of .10 coins is 30 more than the number of .25 coins. how many coins of each kind do i have?


  1. Number of 0.25 coins is x, number of 0.10 coins is y and number of 0.05 coins is z.
  2. First equation is 0.25x+0.10y+0.05z=36.
  3. You also know that z=4x and y=x+30.
  4. You substitute that in first equation and you get: 0.25x+0.10*(x+30)+0.05*4x=36 or 0.25x+0.10x+0.2x=36-3 or 0.55x=33
  5. Now you know that x is 33/0.55=60 and y=x+30=90 and z=4x=240.

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2 Answers

How to use texas instruments ti-84 plus to plot inequality 4x+8y<40?


First step is to find inequality in the form y<f(x), in this case y<5-0.5x. Then graphing it. See captured image


3_3_2012_6_59_43_pm.jpg

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1 Answer

4x-y-2z=-7 -4x+8y+5z=46 8x-3y+z=13


Type solve(exp1 and exp2 and exp3, {x,y,z})
See cap images
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2 Answers

8y-4(5-6y)+20 distributive property


Hello,
You are talking of the distributivity of multiplication with respect to the addition or subtraction. The only term where you have multiplication and addition/subtraction is the one with parentheses because
4(5-6y) = 4*(5-6y). * means multiply by

Distributing the product consists in removing CORRECTLY the parentheses.
I consider the term alone
4*(5-6y) = 4*5 +4*(-6y)= 20 -4*6*y = 20 -24*y
You put this result in a package and replace it where it was it the original expression.
So
8*y -(package) +20= Replace package
8*y -(20-24*y)+20 = 8*y -20 -(-24y) + 20 Remember -*(-) = +
8*y -20 +24*y +20= Remember -20+20 =0
8*y -20 +20 +24*y= Addition is commutative
8*y +24*y = 32*y
Let y be an orange 8 oranges + 24 oranges =32 oranges.Coclusion
8y-4(5-8y)+20 = 32y

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Determining the equation of the parabola


V (2,0) and Focus (2,2)
since the focus is 2 units above the vertex, the parabola opens upward

vertex (h,k)
a is the focal length (distance between the vertex and the focus)
a = 2
(2 units above the vertex)

(x-h)^2 = 4a (y-k)
(x-2)^2 = 4(2) (y-0)
x^2 - 4x + 4 = 8 (y)
x^2 - 4x + 4 = 8y
x^2 - 4x - 8y + 4 = 0

**Answer: "(x-2)^2 = 8 (y)" or in expanded form "x^2 - 4x - 8y +4"

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Your friend John asks you for advice concerning life insurance. John is 32 years old and graduated from law school last year. he currently earns $48,000 per year as a first year attorney. John is married and has two children, Billy, age 10, and Sarah, age 4. John's wife, Mary, is a professor who currently earns $58,000 per year. Mary is 34 years old. John and Mary pay $1,700 per month for their home mortgage, which will be paid off in 20 years. The interest rate on their mortgage is 4.5%. (Their current equity in the home is $75,000.) The couple owns two cars, both 8 years old, and personal property (such as clothes, electronics, furniture, etc.) values at $45,000. Their investments have been used up paying for John's law school education, so they currently have only $1,000 in savings and checking accounts, and $2,000 in a mutual fund. John has no life insurance. Mary has $100,000 of life insurance provided by her employer. mary's pension plus social security are expected to total $45,000 per year, beginning when she is 67 years old. If John should die, Mary would receive approximately $10,000 per year from social security until Sarah reaches age 18. John and Mary spend most of their current income, although they do try to save about $50 per month. Their investments earn approximately 5% per year. In addition to their home mortgage, John has a student loan of $15,000 that he must start making payments on in 6 months. he plans to pau back the loan in 5 years and the loan's interst rate is 6% per year. Given that Mary enjoys a flexible work schedule, and because Mary's mother lives close by and watches the kids two days per week, the currently are not paying any child care expenses.

Nov 22, 2013 | Bagatrix Algebra Solved! 2005 (105101) for...

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Your friend John asks you for advice concerning life insurance. John is 32 years old and graduated from law school last year. he currently earns $48,000 per year as a first year attorney. John is married and has two children, Billy, age 10, and Sarah, age 4. John's wife, Mary, is a professor who currently earns $58,000 per year. Mary is 34 years old. John and Mary pay $1,700 per month for their home mortgage, which will be paid off in 20 years. The interest rate on their mortgage is 4.5%. (Their current equity in the home is $75,000.) The couple owns two cars, both 8 years old, and personal property (such as clothes, electronics, furniture, etc.) values at $45,000. Their investments have been used up paying for John's law school education, so they currently have only $1,000 in savings and checking accounts, and $2,000 in a mutual fund. John has no life insurance. Mary has $100,000 of life insurance provided by her employer. mary's pension plus social security are expected to total $45,000 per year, beginning when she is 67 years old. If John should die, Mary would receive approximately $10,000 per year from social security until Sarah reaches age 18. John and Mary spend most of their current income, although they do try to save about $50 per month. Their investments earn approximately 5% per year. In addition to their home mortgage, John has a student loan of $15,000 that he must start making payments on in 6 months. he plans to pau back the loan in 5 years and the loan's interst rate is 6% per year. Given that Mary enjoys a flexible work schedule, and because Mary's mother lives close by and watches the kids two days per week, the currently are not paying any child care expenses.

Nov 22, 2013 | Bagatrix Algebra Solved! 2005 (105101) for...

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