How do you solve #21 + t = 101#?

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Answer 1 · 2015-12-18T15:40:22

More detailed explanation about method.

#t=80#

Given: #color(white)(..)color(blue)(21+t=101)#

#color(brown)("Objective")#
To end up with t on its own on one side of the equals sign and everything else on the other.

#color(brown)("Method")#

Turn 21 onto 0 so that #0+t->t#

#color(brown)("Rule")#
What is done to one side of the equation has to be done to the other to maintain the truth of the equals.

#color(brown)("Solution:")#

Subtract #color(green)(21)# from both sides giving:

#color(blue)((21+t)color(green)(-21)=(101)color(green)(-21))#

#color(blue)(21color(green)(-21) +t= 80#

#0+t=80#

#t=80#