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

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Solving systems of equations by elimination

3x+2y= 7
5x-2y= 1 is my problem.


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  • Anonymous Apr 21, 2009

    6x-5y=47
    3y=-7-2x


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Hi joanmae jmeh;

You can add these equations just like you would numbers

3x + 2y = 7
5x - 2y = 1
-----------------------
8x =8
x=1
Now plug x = 1 back into either equation and you can solve for y
Y = 2

When you add the 2 equations together the +2y and the -2y cancel
out

Hope this helps Loringh Please leave a rating for me Thks

Posted on Dec 01, 2008

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Solve 4x-2y=8

Posted on Mar 02, 2009

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(0,2)

Posted on Dec 31, 2008

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How to solve equations with calculator


I'm not sure which calculator you are using, but the website desmos.com can be used as an online calculator. You would enter the two lines and where they intersect, it will tell you the coordinates.

Doing it manually, you could use the elimination or substitution method.

By the elimination method:

x + y = 7 (1)
x + 2y = 11 (2)
------------------
0 - y = -4 subtracting (2) from (1)
y = 4
Substituting into (1) x + 4 = 7

x = 3 After subtracting 4 from both sides

Checking in the second equation
LS RS
3 + 2 (4) 11
3 + 8 11
11 11
LS = RS
QED

Good luck,

Paul

Mar 08, 2018 | Homework

1 Answer

How do I get this: Twice a number minus a second number is -1. Twice the second number added to three times the first number is 9. Find the two numbers.


Two equations:
x = first number
y = second number
2x - y = -1
y = 1 + 2x
2y + 3x = 9
2(1 + 2x) + 3x = 9
2 + 7x = 9
7x = 7
x = 1
y = 2(1) + 1 = 3

Oct 25, 2016 | Cars & Trucks

1 Answer

Determine the x and y intercept of the graph for each equation. 5x-y=-5 And -3x+2y=7


5x-y=-5 answer x=-1, y= 5 http://www.wolframalpha.com/input/?i=Determine+the+x+and+y+intercept+of+the+graph+for+equation%3A+5x-y%3D-5

-3x+2y=7 answer x = -7/3, y = 7/2 http://www.wolframalpha.com/input/?i=Determine+the+x+and+y+intercept+of+the+graph+for+equation%3A+-3x%2B2y%3D7

Feb 23, 2015 | Office Equipment & Supplies

1 Answer

How do I solve (3x-2y)2(3xy-3)


First, we will find y in terms of x. We will use the first equation to determine this.
4x+2y=2
We can subtract 4x from both sides:
2y=2-4x
And then divide both sides of the equation by two:
y=1-2x
Since we now have y in terms of x, we can substitute this into our second equation.
-3x-y=-3
-3x-(1-2x)=-3
Then, we can distribute the minus sign
-3x-1+2x=-3
-x-1=-3
Next, we can add 1 to both sides of the equation.


-x=-2
Finally, we divide both sides by negative one to isolate x.
x=2
Now that we have x's value, we can find y's value.
The first thing that we determined is:
y=1-2x
We can substitute in the value of x to this equation.
y=1-2x
plot-formula.mpl?expression=y=1-2%2a2&x=0003
y=1-4
y=-3
Therefore, we now have the values of both variables.
x=2
y=-3

Jan 13, 2015 | SoftMath Algebrator - Algebra Homework...

1 Answer

2x -y +z -w = -1 x +3y -2z = -5 3x -2y +4w = 1 -x +y -3z -w = -6 solve for the variables w,x,y,z using matrix equation


You have to put the equations into matrix form first. To do this, each variable has one column in the first matrix and you fill in the co-efficients for the variables. The second matrix has one column and contains all the numbers.

{ 2 -1 1 -1} = Matrix A
{ 1 3 -2 0}
{ 3 -2 0 4}
{-1 -3 -3 -1}

{-1} = Matrix B
{-5}
{ 1}
{-6}

{x=-2} = A*(B^-1)
{y=-.2}
{z=3}
{w=1/6}

I used excel for all my calculation and a helpful tutorial can be found here. I hope this helps and have a nice day!

May 05, 2011 | Computers & Internet

1 Answer

7x-2y=1 y=3x


And your question is? If you just want to know how to solve this system, you only need to substitute one equation into the other and solve for the remaining unknown.

y=3x (equation 2), so plug it into equation 1

7x-2y=1
7x-2(3x)=1
7x-6x=1
x=1

from equation 2 then, you know y=3x=3

Oct 05, 2010 | Linear (HDMICAT5EXT) Repeater

2 Answers

X-3y=5 3x-2y=1


2y - x = 3
x = 3y - 5

Add the two equations side by side,

2y - x + x = 3 + 3y - 5

2y = 3y - 2

y = 2

Plug this in the second equation to get x,

x = 3(2) - 5

x = 1

So the solution is x = 1, y = 2

or in ordered pair notation (1, 2)

Jun 29, 2009 | Computers & Internet

2 Answers

Find the y coordinate in the solution of -3x+y=5 if x=1


This is the process of how you would solve this.

-move the -3x over to the right hand side, so you have:
y = 5 + 3x

- since you know what x is, plug in the x which is 1:
y = 5 + 3(1)

- solve the equation
y = 5+3

y = 8, so the solution is 8.

Dec 16, 2008 | SoftMath Algebrator - Algebra Homework...

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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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