SOLUTION: Solve using Cramers Rule 2x+4y=16 3x-5y=-9

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Question 601741: Solve using Cramers Rule
2x+4y=16
3x-5y=-9
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!

system%28Px%2BQy=R%2CSx%2BTy=U%29

is solved by calculating these three determinants:

D = abs%28matrix%282%2C2%2CP%2CQ%2CS%2CT%29%29 = PT-QS

D%5Bx%5D = abs%28matrix%282%2C2%2CR%2CQ%2CU%2CT%29%29 = RT-QU

D%5By%5D = abs%28matrix%282%2C2%2CP%2CR%2CS%2CU%29%29 = PU-RS

Then

x = D%5Bx%5D%2FD

y = D%5By%5D%2FD

Your system

system%282x%2B4y=16%2C3x-5y=-9%29

has P=2, Q=4, R=16, S=3, T=-5, U=-9

Substitute those into the above and you will get:

x = 2, y = 3

Edwin