Solve for #x# and #y#, given that #x+8y=160# and #3x+5y=119#?

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Answer 1 · 2017-03-19T05:50:17

#y=19 and x=8#

#color(red)("Commencing")# #color(red)("simultaneous")# #color(red)("equation")#,

#x+8y=160#
#3x+24y=480# #->#①

#3x+5y=119# #->#②

From ①#-#②,

#3x+24y-3x-5y=480-119#
#19y=361#
#y=19#

#x=160-(19×8)#
#x=8#

Hence, #x=8 and y=19#.