How do you solve the system of equations #a + 3b = 13# and #a + b = 5#?

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Answer 1 · 2017-10-17T07:36:03

#a=1,b=4#

another way is by elimination

#a+3b=13--(1)#

#a+b=5--(2)#

subtract #(2)-(1)#

#2b=8=>b=4#

substituting into #(2)

#a+4=4=>a=1#

#a=1,b=4#

check for consistency in #(1)#

#1+3xx4=1+12=13sqrt#