SOLUTION: I am not sure how to solve this system
x + y = -4
-x-5y=-8
Algebra.Com
Question 548770: I am not sure how to solve this system
x + y = -4
-x-5y=-8
Found 2 solutions by stanbon, jim_thompson5910:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
solve this system
x + y = -4
-x-5y=-8
-------------
Add to get -4y = -12
y = 3
----
Solve for "x":
x + y = -4
x + 3 = -4
x = -7
----
Solution: (-7,3)
==================
Cheers,
Stan H.
==================
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 .
Reduce.
------------------------------------------------------------------
Now go back to the first equation.
Plug in .
Subtract from both sides.
Combine like terms on the right side.
So the solutions are and .
Which form the ordered pair )
.
This means that the system is consistent and independent.
Notice when we graph the equations, we see that they intersect at . So this visually verifies our answer.
Graph of (red) and (green)
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
I need to solve for x and y by using substitution. I am not sure of how to go about... (answered by ankor@dixie-net.com)
I am not sure how to solve this equation:
3/4=1- 3x-2/x+1
(answered by solver91311)
Hello,
I am not sure how to solve this equation for x, since x is in the denominator.
(answered by stanbon,MathLover1)
I have to simplify
x^5y^4 over x^2y^6
If I were multiplying I would have x^7 y^10... (answered by jim_thompson5910)
I am supposed to solve this-they are fractions.
8-x/9-x= 1/x-9
I am not sure how to (answered by stanbon)
I am not sure how to solve this algebraically.
y=1/3x+1
y=3/x+3
Please... (answered by Alan3354,rothauserc)
(-4+6)[(-8)+(-7)-(-10)] I am not sure how to solve this... (answered by rfer)
How do I solve this system of equations?
x+y+4z = 10
x+y+2z = 4
x-4y-8z=-36
Im a... (answered by ewatrrr,Fombitz)
I am not sure how to factor this problem:... (answered by jsmallt9)