Question 544781
Let's begin by getting rid of the numbers in the denominators. Do that by multiplying every term on both sides of the equation by 5*6 (or 30) to get:
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{{{(5*6)(1/6) +(5*6)/K = (5*6)(1/5)}}}
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In the two terms with numerical denominators cancel the denominator with the corresponding number in the term's numerator:
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{{{(5*cross(6))(1/cross(6)) +(5*6)/K = (cross(5)*6)(1/cross(5))}}}
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This makes the equation become:
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{{{5 + (5*6)/K = 6}}}
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Subtract 5 from both sides to get rid of the 5 on the left side:
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{{{(5*6)/K = 1}}}
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Multiply out the numerator on the left side:
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{{{30/K = 1}}}
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Multiply both sides by K to eliminate the denominator on the left side and get:
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{{{30 = K}}}
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That's the value of K that will satisfy the original equation.
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Hope this helps you to understand the problem.
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