SOLUTION: solve the following simultaneous equation by using cramer's rule 3x+2y=13 2x-y=4

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Question 578099: solve the following simultaneous equation by using cramer's rule
3x+2y=13
2x-y=4
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%283x%2B2y=13%2C2x-y=4%29

has P=3, Q=3, R=13, S=2, T=-1, U=4

Substitute those into the above and you will get:

x = 3, y = 2

Edwin