SOLUTION: solve the system of equations:
6x-y=3
5x+3y=-9
Algebra.Com
Question 347764: solve the system of equations:
6x-y=3
5x+3y=-9
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given system of equations:
Multiply the both sides of the first equation by 3.
Distribute and multiply.
So we have the new system of equations:
Now 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 .
Multiply.
Subtract from both sides.
Combine like terms on the right side.
Divide both sides by to isolate .
Reduce.
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, feel free to check out my tutoring website
Jim
RELATED QUESTIONS
Solve the system of equations by graphing.
y+2x=-3... (answered by ewatrrr)
``solve each system of equations by the substitution method
6x+3y=12... (answered by Fombitz)
solve the system of linear equations
What is x?
5x+2y= -7
What is y?... (answered by Quackpot rocks)
Solve each system of equations by the substitution method.
1) y=3x
5x+2y=44... (answered by solver91311,Alan3354)
Solve the system of equations by the method of your choice:
6x + 3y = 9 and y = – 2x... (answered by solver91311,mananth)
the substitution method should be used to solve which system of equations
a.5x-7y=16
(answered by Edwin McCravy)
Solve the system of equations below using elimination by addition.
What are the... (answered by Boreal)
Solve the system of equations by graphing.
2x-y=6
6x-3y=6
help... (answered by mananth)
Solve the following system of linear equations by elimination.
6x+3y=1... (answered by Alan3354)