SOLUTION: 69.72=68.9257x + 70.9249(1-x)

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Question 51387: 69.72=68.9257x + 70.9249(1-x)
Answer by rchill(405) About Me  (Show Source):
You can put this solution on YOUR website!
+69.72+=+68.9257x+%2B+70.9249%281-x%29+ expands to +69.72+=+68.9257x+%2B+70.9249%2A1+-+70.9249%2Ax%29+, or +69.72+=+68.9257x+%2B+70.9249+-+70.9249x+. Adding like terms on the right side of the equation produces +69.72+=+70.9249+-+1.9992x+. Now subtract 70.9249 from both sides. This produces the equation +69.72+-+70.9249+=+70.9249+-+1.9992x+-+70.9249+ which reduces to +-1.2049+=+-1.9992x+. Dividing both sides by -1.9992 yields equation +-1.2049+%2F+-1.9992+=+-1.9992x+%2F+-1.9992+, which reduces to +.602691+=+x+. To check our answer, substitute it into the original equation for x, producing +69.72+=+68.9257%2A.602691+%2B+70.9249%2A%281-.602691%29+. Simplifying this equation produces +69.72+=+41.555993+%2B+70.9249%2A.39709+. Simplifiying further yields +69.72+=+41.55599+%2B+28.163568+, which produces +69.72+=+69.719561+. Rounding to the nearest hundredth produces 69.72 = 69.72, a true statement, which means our answer of +x+=+.602691+ is correct.