Solve linear equations with variables on both sides and interpret special cases.
Solve a comparison context
Problem
Plan A costs \(\$3m~+~\$5\) and Plan B costs \(\$m~+~\$17\). After how many months are the costs equal?
Big Picture
What this problem is really about
Equal plan costs occur where the two cost expressions have the same value for the same number of months. Set those expressions equal, then collect the month terms on one side and fixed costs on the other. The resulting value represents time, and substituting it should produce the same dollar total for both plans.
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