Question 107572
Given the equation:
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{{{C = (5/9)(F - 32)}}}
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To solve this equation for F begin by doing the distributed multiplication on the right side.
By that you multiply {{{5/9}}} times each of the two terms in the parentheses. The multiplication
of {{{(5/9)}}} and {{{F}}} results in {{{(5/9)*F}}} and the multiplication of {{{(5/9)}}} and -32
results in {{{-(5/9)*32}}}. So the equation becomes:
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{{{C = (5/9)*F - (5/9)*32}}}
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Get rid of the {{{-(5/9)*32}}} on the right side by adding {{{+(5/9)*32}}} to both sides. This
addition cancels the {{{-(5/9)*32}}} on the right side. And after the addition to the left side
the equation becomes:
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{{{C + (5/9)*32 = (5/9)*F}}}
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Next multiply both sides (all terms) by {{{9/5}}} to get rid of the fractions. This multiplication
of all terms results in:
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{{{(9/5)*C + (9/5)*(5/9)*32 = (9/5)*(5/9)*F}}}
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Notice that when you multiply {{{9/5}}} times {{{5/9}}} the result is {{{1}}}. This makes
the equation become:
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{{{(9/5)*C + 1*32 = 1*F}}}
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which multiplies out to give:
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{{{(9/5)*C + 32 = F}}}
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And reversing the sides this is:
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{{{F = (9/5)*C + 32}}}
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This is the answer to your problem. Hope that it helps you to understand the problem a
little better.
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