How do you solve this system of equations: #5b - 3a = - 1 and b + a = 3#?

1 Answer
Nallasivam V
Dec 10, 2017

#a=2#
#b=1#

Explanation:

Given -

#b+a=3# ------------------- (1)
#5b-3a=-1# -----------------(2)

#a=3-b#

#5b -3(3-b)=-1#

#5b -9+3b=-1#

#8b=-1+9=8#

#b=8/8=1#

#b=1#

Substitute #b-1# in equation (1)

#1+a=3#

#a=3-1=2#

#a=2#

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