SOLUTION: Solve the system of equations
x + y = 6
x - y = -9
Algebra.Com
Question 530986: Solve the system of equations
x + y = 6
x - y = -9
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given system of equations:
Add the equations together. You can do this by simply adding the two left sides and the two right sides separately like this:
Group like terms.
Combine like terms.
Simplify.
Divide both sides by to isolate .
------------------------------------------------------------------
Now go back to the first equation.
Plug in .
Multiply both sides by the LCD to clear any fractions.
Distribute and multiply.
Add to both sides.
Combine like terms on the right side.
Divide both sides by to isolate .
So the solutions are and .
Which form the ordered pair
.
This means that the system is consistent and independent.
If you need more help, email me at jim_thompson5910@hotmail.com
Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you
Jim
RELATED QUESTIONS
Solve the system of equations
x + y = 6
x - y = -9
(answered by mananth)
Solve the system of equations
x + y = 6
x - y = -9
(answered by Alan3354)
Solve the system of linear equations.
x/4 - y/11 = -9/44
x/6 - y/13 =... (answered by CharlesG2,drk,richwmiller)
use an augmented matrix to solve each system of equations
-x+y=9... (answered by Alan3354)
Solve the system of equations: {2x+y-3z=1}... (answered by jim_thompson5910)
solve the system of linear equations
x+y=-6... (answered by ikleyn,MathTherapy)
Solve the following system of equations for x:
x+y=6... (answered by Boreal,MathLover1)
Solve the following system of equations:
x+y=3... (answered by Alan3354)