document.write( "Question 214097: Find two consecutive even integers such that three times the lesser integer, added to the larger integer, is 58. \n" ); document.write( "

Algebra.Com's Answer #161704 by drj(1380) $\"\"$ $\"About$

You can put this solution on YOUR website!
Find two consecutive even integers such that three times the lesser integer, added to the larger integer, is 58.\r
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\n" ); document.write( "\n" ); document.write( "Step 1. Let n be an even integer and n+2 be the next consecutive even integer\r
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\n" ); document.write( "\n" ); document.write( "Step 2. 3n be three times the lesser integer\r
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\n" ); document.write( "\n" ); document.write( "Step 3. 3n+n+2 be three times the lesser integer added to the larger integer n+2\r
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\n" ); document.write( "\n" ); document.write( "Step 4. 3n+n+2=58 be three times the less integer added to the larger integer n+2 is 58.\r
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\n" ); document.write( "\n" ); document.write( "Step 5. The following steps will solve the equation 3n+n+2=58.\r
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Solved by pluggable solver: EXPLAIN simplification of an expression

Your Result:

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\n" ); document.write( " YOUR ANSWER\n" ); document.write( "

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This is an equation! Solutions: n=14.
Graphical form: Equation $\"3n%2Bn%2B2=58\"$ was fully solved.
Text form: 3n+n+2=58 simplifies to 0=0
Cartoon (animation) form: $\"simplify_cartoon%28+3n%2Bn%2B2=58+%29\"$
For tutors: simplify_cartoon( 3n+n+2=58 )
If you have a website, here's a link to this solution.

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DETAILED EXPLANATION

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Look at $\"highlight_red%28+3%2An+%29%2Bhighlight_red%28+n+%29%2B2=58\"$ .
Eliminated similar terms $\"highlight_red%28+3%2An+%29\"$ , $\"highlight_red%28+n+%29\"$ replacing them with $\"highlight_green%28+%283%2B1%29%2An+%29\"$
It becomes $\"highlight_green%28+%283%2B1%29%2An+%29%2B2=58\"$ .
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Look at $\"%28highlight_red%28+3+%29%2Bhighlight_red%28+1+%29%29%2An%2B2=58\"$ .
Added fractions or integers together
It becomes $\"%28highlight_green%28+4+%29%29%2An%2B2=58\"$ .
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Look at $\"highlight_red%28+%28highlight_red%28+4+%29%29%2An+%29%2B2=58\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+4+%29\"$
It becomes $\"highlight_green%28+4+%29%2An%2B2=58\"$ .
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Look at $\"4%2An%2B2=highlight_red%28+58+%29\"$ .
Moved these terms to the left $\"highlight_green%28+-58+%29\"$
It becomes $\"4%2An%2B2-highlight_green%28+58+%29=0\"$ .
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Look at $\"4%2An%2Bhighlight_red%28+2+%29-highlight_red%28+58+%29=0\"$ .
Added fractions or integers together
It becomes $\"4%2An%2Bhighlight_green%28+-56+%29=0\"$ .
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Look at $\"4%2An%2Bhighlight_red%28+-56+%29=0\"$ .
Removed extra sign in front of $\"-56\"$
It becomes $\"4%2An-highlight_green%28+56+%29=0\"$ .
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Look at $\"highlight_red%28+4%2An-56+%29=0\"$ .
Solved linear equation $\"highlight_red%28+4%2An-56=0+%29\"$ equivalent to 4*n-56 =0
It becomes $\"highlight_green%28+0+%29=0\"$ .
Result: $\"0=0\"$
\n" ); document.write( "This is an equation! Solutions: n=14.

Universal Simplifier and Solver

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Done!

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\n" ); document.write( "\n" ); document.write( "Then n+2=16 when n=14\r
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\n" ); document.write( "\n" ); document.write( "Check 3*14+16=58. So it works!!\r
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\n" ); document.write( "\n" ); document.write( "Step 6. ANSWER: The integers are 14 and 16. \r
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\n" ); document.write( "\n" ); document.write( "I hope the above steps were helpful. \r
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\n" ); document.write( "\n" ); document.write( "For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.\r
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\n" ); document.write( "\n" ); document.write( "And good luck in your studies!\r
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\n" ); document.write( "\n" ); document.write( "Respectfully,
\n" ); document.write( "Dr J \n" ); document.write( "

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