How do you solve the following system?: #9x +12y = 7 , -2x - 21y = -41#

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How do you solve the following system?: #9x +12y = 7 , -2x - 21y = -41#

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Answer 1 · 2017-12-19T10:08:28

#x=-2.1andy=2.15#

Explanation:

Let,#9x+12y=7..............(1)#
#-2x-21y=-41.................(2)#
#[(1)equationxx(-2)]:-18x-24y=-14...................(3)#
#[(2)equationxx(9)]:-18x-189y=-369.....................(4)#

#Now[(3)-(4)]:##cancel(-18x)-24y+cancel(18x)+189y=-14+369#

or,#165y=355#

so,#y=2.15#

Now substitute this value in (1)no. equation:

#9x+12(2.15)=7#

or,#x=-2.1#

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How do you solve the following system?: #9x +12y = 7 , -2x - 21y = -41#

1 Answer

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