SOLUTION: Five times an integer is multiplied by the sum of that integer and 6. If the product equals 35, what is the integer give one of two. I came up with 5 let me know if I'm doing this

Algebra ->  Polygons -> SOLUTION: Five times an integer is multiplied by the sum of that integer and 6. If the product equals 35, what is the integer give one of two. I came up with 5 let me know if I'm doing this       Log On


   

Question 941011: Five times an integer is multiplied by the sum of that integer and 6. If the product equals 35, what is the integer give one of two. I came up with 5 let me know if I'm doing this right.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let the integer = +k+
+5k%2A%28+k+%2B+6+%29+=+35+
+5k%5E2+%2B+30k+=+35+
Divide both sides by +5+
+k%5E2+%2B+6k+-+7+=+0+
+%28+k+%2B+7+%29%2A%28+k+-+1+%29+=+0+
+k+=+1+
+k+=+-7+
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Check for +k+=+1+
+5k%2A%28+k+%2B+6+%29+=+35+
+5%2A1%2A%28+1+%2B+6+%29+=+35+
+5%2A7+=+35+
+35+=+35+
OK