If #2a-8=4# and #3b-8=10#, what is the value of #a+b#?

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Answer 1 · 2016-11-03T22:33:34

#a + b = 12#

Solve the first equation for #a#:

#2a - 8 = 4#

#2a - 8 + 8 = 4 + 8#

#2a = 12#

#2a/2 = 12/2#

#a = 6#

Solve the second equation for #b#:
#3b - 8 = 10#

#3b - 8 + 8 = 10 + 8#

#3b = 18#

#3b/3 = 18/3#

#b = 6#

Therefore:

#a + b = 6 + 6#

#a + b = 12#