SOLUTION: Elimination Method: 3x + y = 9 5x + 4y = 22 Post steps used to get the answer...Please. Thank you.

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: Elimination Method: 3x + y = 9 5x + 4y = 22 Post steps used to get the answer...Please. Thank you.      Log On


   



Question 855480: Elimination Method:
3x + y = 9
5x + 4y = 22
Post steps used to get the answer...Please.
Thank you.

Found 2 solutions by Alan3354, KMST:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Multiply the 1st eqn by 4, subtract

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
system+%283x+%2B+y+=+9%2C+5x+%2B+4y+=+22%29 solved in tiny steps.
STEP 1:
Start by multiplying both sides of the equal sign by a convenient number for one equation,
and doing the same for the other equation, if needed.
How do you choose the convenient number(s)?
You choose them so as to "eliminate" one variable in the next step.
There is more than one way to choose, and one way may look easier than another.
3x+%2B+y+=+9--->%284%29%283x+%2B+y%29=%284%29%2A9--->12x+%2B12y=%2B36
5x+%2B+4y+=+22--->%28-1%29%285x+%2B+4y%29=%28-1%29%2A22--->-5x+-+4y+=+-22

STEP 2:
Add together left sides and right sides

That "eliminated" y because we ended up with
7x=14 .

STEP 3:
Solve for the variable not eliminated.
7x=14--->x=14%2F7--->highlight%28x=2%29

STEP 4:
Substitute the value found for the variable in one of the equations.
Which one?
Again, there are choices, and one way may look easier than another.
3x+%2B+y+=+9 looks better to me, because there is no coefficient in front of the y .
system%283x+%2B+y+=+9%2Cx=2%29 --->3%2A2%2By=9--->6%2By=9
STEP 5:
Solve for the originally "eliminated" variable.
6%2By=9--->y=9-6--->highlight%28y=3%29