How do you solve the system of equations #3x - 5y = 24# and #x - 2y = 6#?

1 Answer
Shiva Prakash M V
May 23, 2018

#x=18#
#y=6#

Explanation:

#3x-5y=24------(1)#
#x-2y=6--------(2)#
from (2),
#x=2y+6#
(1) becomes
#3(2y+6)-5y=24#
#6y+18-5y=24#
#y+18=24#
#y=24-18#
#y=6#
#x=2(6)+6#
#x=12+6#
#x=18#

Check:
#lhs=3x-2y=3(18)-5(6)=54-30=24=rhs#
#lhs=x-2y=18-2(6)=18-12=6=rhs#

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