SOLUTION: Solve by the elimination method
3r-2s=-4
2r+3s=32
what is the solution of the system
Algebra.Com
Question 146584: Solve by the elimination method
3r-2s=-4
2r+3s=32
what is the solution of the system
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.
Multiply the both sides of the second equation by 2.
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. Notice how the s terms cancel out.
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 our answer is and .
Which form the ordered pair )
.
This means that the two equations are consistent and independent.
RELATED QUESTIONS
2r - 3s =-3
3r+2s=28
solve by the elimination... (answered by Alan3354,rwm,blwinbbbles)
solve by the elimination method:
2r-3s= -14... (answered by jim_thompson5910,Alan3354)
Solve by elimination method 2r - 5s = -14 5r + 2s = 52 what is the solution of the... (answered by Maths68)
2r - 3s = 12
3r + 2s = 31
solve by the elimination method
what is the solution of... (answered by ankor@dixie-net.com)
solve using elimination method
3r-2s=-15... (answered by drj)
Solve by the elimination method.
3r-7s=-35
7r+3s=73
If necessary what is the... (answered by ankor@dixie-net.com)
Solve by the elimination method
2r-5s= -1
5r+2s=41
What is the solution of the system? (answered by ewatrrr)
How do I solve by elimination for 2r - 3s = -5 and 3r + 2s =... (answered by solver91311)
Solve by the elimination method.
2r-7s=-38... (answered by Fombitz)