How do you solve the following system?: #8x -5y =9 , 5x -7y = 2#

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Answer 1 · 2018-03-23T12:36:10

Solution: # x=53/31, y=29/31#

#8x-5y=9 ; (1) ; 5x-7y=2 ; (2)# . Multiplying equation(1)

by #5# and equation(2) by #8# we get,

#40x-25y=45 ; (3) ; 40x-56y=16 ; (4)# Subtracting

equation(4) from equation(3) we get,

#31y=29 :. y= 29/31 # Putting #y= 29/31 # in equation (1)

we get #8x-5*29/31=9 or 8x= 9+145/31or 8x= 424/31# or

#x= 424/(31*8) = 53/31:.# Solution:# x=53/31, y=29/31# [Ans]