document.write( "Question 500269: If 8 is added to 7 times a number and the sum is divided by 3, the result is the same as if then number is multipled by 5 and 6 is added to the product.What is the number. \n" ); document.write( "

Algebra.Com's Answer #338132 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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let n = \"a number\"
\n" ); document.write( ":
\n" ); document.write( "write an equation for exactly what it says
\n" ); document.write( ":
\n" ); document.write( "If 8 is added to 7 times a number and the sum is divided by 3, the result is the same as if then number is multipled by 5 and 6 is added to the product.
\n" ); document.write( " $\"%287n+%2B+8%29%2F3\"$ = 5n + 6
\n" ); document.write( "get rid of the denominator, mult both sides by 3
\n" ); document.write( "7n + 8 = 3(5n+ 6)
\n" ); document.write( "7n + 8 = 15n + 18
\n" ); document.write( "7n - 15n = 18 - 8
\n" ); document.write( "-8n = 10
\n" ); document.write( "n = $\"10%2F%28-8%29\"$
\n" ); document.write( "n = -1.25
\n" ); document.write( ":
\n" ); document.write( "Let's see if that works in the given statement
\n" ); document.write( "If 8 is added to 7 times a number and the sum is divided by 3, the result is the same as if then number is multiplied by 5 and 6 is added to the product.
\n" ); document.write( " $\"%287%28-1.25%29+%2B+8%29%2F3\"$ = 5(-1.25) + 6
\n" ); document.write( " $\"%28-8.75%2B+8%29%2F3\"$ = -6.25 + 6
\n" ); document.write( " $\"%28-.75%29%2F3\"$ = -.25; confirms our solution of n = -1.25 \n" ); document.write( "

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