How do I use elimination to find the solution of the system of equations #3x+4y=10# and #x−y=1#?

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Answer 1 · 2018-04-22T13:59:40

#x=2, y=1#

#3x+4y=10--(1)#

#x-y=1---(2)#

#(2)xx4#

#4x-4y=4---(2a)#

#3x+4y=10---(1)#

#(2a)+(1)#

#7x=14=>x=2#

subs into#(2)#

2-y=1#

#:.y=1#

quick mental check in #(1)# confirms trhe solns