How do you solve the system of equations #5x - 2y = 12# and # 2x - 3y = 7#?

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Answer 1 · 2018-03-30T07:24:10

#x=2#
#y=-1#

=#5x-2y=12#

Multiplying above equation with #2#

=#2x-3y=7#

Multiplying above equation with 5

Now subtracting both equations to cancel out #10x#

=#(10x-4y=24)-(10x-15y=35)#

=#11y=-11#

=#y=-1#

Now for #x# put y=-41 in below equation

=#2x-3y=7#

=#2x-3(-1)=7#

=#2x=4#

=#x=2#

Hope this helps!

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