How do you solve the following system?: # 11y=5x- 6 , 2y=7x-3 #

1 Answer

Answer:

#x=21/67# and #y=-27/67#

Explanation:

from the given equations

#11y=5x-6# and #2y=7x-3# rearrange the terms so that they become as follows

#5x-11y=6# the 1st equation
#7x-2y=3# the 2nd equation

Elimination by subtraction. Multiply the 2nd equation by #11#
and multiply the 1st equation by #2# so that they become

#10x-22y=12# the 1st equation
#77x-22y=33# the 2nd equation

perform subtraction

#67x+0=21#

and #67x=21#

#x=21/67#

from the original 2nd equation, use #x=21/67#

#2y=7x-3#
#2y=7(21/67)-3#

#2y=147/67-201/67#

#y=1/2((147-201)/67)#

#y=1/2((-54)/67)#

#y=-27/67#

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