You can put this solution on YOUR website! 8 / (w-10) = 16 / ( w-5) = (z+8) / w
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We know that if a = b and b = c, then a = c.
So you can do this problem in pieces.
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8 / (w-10) = 16 / ( w-5)
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cross multiply
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8(w-5) = 16(w-10)
8w -40 = 16w -160
-8w = -120
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w = 15
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16 / ( w-5) = (z+8) / w
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cross multiply
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16w = (z+8)(w-5)
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substitute w=15
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16(15) = (z+8)(15-5)
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240 = (z+8)*10
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240 = 10z +80
10z = 240 - 80
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z = 16
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Now that we've found w & z, we can check to see if the three original equations are satisfied.
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8 / (w-10) = 8/(15-10) = 8/5
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16 / ( w-5) = 16 /(15-5) = 16/10 = 8/5
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(z+8) / w = (16+8) / 15 = 24/15 = 8/5
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Correct.
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Answer: w=15 and z=16.
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Done.
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