SOLUTION: I have pulled my hair out trying to learn this stuff!! If anyone could help me I'd so appreciate it!! thank you!! Solve using the elimination method. Show your work. If the sys

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: I have pulled my hair out trying to learn this stuff!! If anyone could help me I'd so appreciate it!! thank you!! Solve using the elimination method. Show your work. If the sys      Log On


   



Question 372841: I have pulled my hair out trying to learn this stuff!! If anyone could help me I'd so appreciate it!! thank you!!
Solve using the elimination method. Show your work. If the system has no solution or an infinite number of solutions, state this.
3x + 11y = 34.5
9x – 7y = -16.5

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
It helps to get all the terminology straight,
otherwise, you can't talk about it
You have:
1st equation:
(term 1) + (term 2) = (term 3)
2nd equation:
(term 1) + (term 2) = (term 3)
What you are trying to do is
get either the (term 1)'s equal to each other
or the (term 2)'s equal to each other.
Then the next step is to multiply both sides
of equation 2 by -1
Then when add the equations, you get:
1st equation:
(term 1) + (term 2) = (term 3)
2nd equation:
-(term 1) - (term 2) = -(term 3)
So, you've gotten rid of either the (term 1)'s or the (term 2)'s
--------------
How do you get (term 1)'s equal to each other?
3x+%2B+11y+=+34.5
9x+-+7y+=+-16.5
Multiply both sides of equation 1 by 3
9x+%2B+33y+=+103.5
Now you can multiply both sides of equation 2 by -1
and add the equations
9x+%2B+33y+=+103.5
-9x+%2B+7y+=+16.5 (note that all the signs are changed)
Adding:
40y+=+120
Divide both sides by 40
y+=+3
Now you can plug this result back into
either equation and find x
Does this help?