SOLUTION: Solve the following system of linear equations using any algebraic method. If possible, check your solution. 8 - 6y =12 12x - 9y = 18 I solved all problems except this one. C

Algebra ->  College  -> Linear Algebra -> SOLUTION: Solve the following system of linear equations using any algebraic method. If possible, check your solution. 8 - 6y =12 12x - 9y = 18 I solved all problems except this one. C      Log On


   



Question 1137795: Solve the following system of linear equations using any algebraic method. If possible, check your solution.
8 - 6y =12
12x - 9y = 18
I solved all problems except this one. Could someone help me?

Found 2 solutions by rothauserc, MathLover1:
Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
8 - 6y =12
12x - 9y = 18
:
did you mean?
:
8x - 6y =12
12x - 9y = 18
:

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

8+-+6y+=12...eq.1
12x+-+9y+=+18....eq.2
start with eq.1
8+-+6y+=12...eq.1...if you have no x, just solve for y
8+-+12+=6y
+-+4+=6y
y=+-+4%2F6
y=+-+2%2F3
substitute in eq.2

12x+-+9%28-2%2F3%29+=+18....eq.2
12x+-+cross%289%293%28-2%2Fcross%283%29%29+=+18
12x+-+3%28-2%29+=+18
12x+%2B+6=+18
12x+=+18-6
12x+=+12
x+=+1