document.write( "Question 38460This question is from textbook
\n" ); document.write( ": x= 2y-1 and 2x+y=81\r
\n" ); document.write( "\n" ); document.write( "solve using substitution\r
\n" ); document.write( "\n" ); document.write( "x=?
\n" ); document.write( "y=?\r
\n" ); document.write( "\n" ); document.write( "show work please thank you!! \n" ); document.write( "
Algebra.Com's Answer #24026 by Alwayscheerful(414)\"\" \"About 
You can put this solution on YOUR website!
First step, plug x into the values of x
\n" ); document.write( "\"x=+2y-1\"\r
\n" ); document.write( "\n" ); document.write( "\"2%282y-1%29%2By=81\"
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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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    \n" ); document.write( "
  • This is an equation! Solutions: y=16.6.
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  • Graphical form: Equation \"2%2A%282y-1%29%2By=81\" was fully solved.
  • Text form: 2*(2y-1)+y=81 simplifies to 0=0
  • Cartoon (animation) form: \"simplify_cartoon%28+2%2A%282y-1%29%2By=81+%29\"
    For tutors: simplify_cartoon( 2*(2y-1)+y=81 )
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  • If you have a website, here's a link to this solution.
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DETAILED EXPLANATION

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Look at \"2%2A%282%2Ay-1%29%2By=highlight_red%28+81+%29\".
Moved these terms to the left \"highlight_green%28+-81+%29\"
It becomes \"2%2A%282%2Ay-1%29%2By-highlight_green%28+81+%29=0\".
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Look at \"highlight_red%28+2%2A%282%2Ay-1%29+%29%2By-81=0\".
Expanded term \"2\" by using associative property on \"%282%2Ay-1%29\"
It becomes \"highlight_green%28+2%2A2%2Ay+%29-highlight_green%28+2%2A1+%29%2By-81=0\".
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Look at \"highlight_red%28+2+%29%2Ahighlight_red%28+2+%29%2Ay-2%2A1%2By-81=0\".
Multiplied numerator integers
It becomes \"highlight_green%28+4+%29%2Ay-2%2A1%2By-81=0\".
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Look at \"4%2Ay-highlight_red%28+2+%29%2Ahighlight_red%28+1+%29%2By-81=0\".
Multiplied numerator integers
It becomes \"4%2Ay-highlight_green%28+2+%29%2By-81=0\".
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Look at \"4%2Ay-highlight_red%28+2+%29%2By-highlight_red%28+81+%29=0\".
Added fractions or integers together
It becomes \"4%2Ay%2Bhighlight_green%28+-83+%29%2By=0\".
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Look at \"4%2Ay%2Bhighlight_red%28+-83+%29%2By=0\".
Moved \"-83\" to the right of expression
It becomes \"4%2Ay%2By%2Bhighlight_green%28+-83+%29=0\".
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Look at \"4%2Ay%2By%2Bhighlight_red%28+-83+%29=0\".
Removed extra sign in front of \"-83\"
It becomes \"4%2Ay%2By-highlight_green%28+83+%29=0\".
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Look at \"highlight_red%28+4%2Ay+%29%2Bhighlight_red%28+y+%29-83=0\".
Eliminated similar terms \"highlight_red%28+4%2Ay+%29\",\"highlight_red%28+y+%29\" replacing them with \"highlight_green%28+%284%2B1%29%2Ay+%29\"
It becomes \"highlight_green%28+%284%2B1%29%2Ay+%29-83=0\".
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Look at \"%28highlight_red%28+4+%29%2Bhighlight_red%28+1+%29%29%2Ay-83=0\".
Added fractions or integers together
It becomes \"%28highlight_green%28+5+%29%29%2Ay-83=0\".
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Look at \"highlight_red%28+%28highlight_red%28+5+%29%29%2Ay+%29-83=0\".
Remove unneeded parentheses around factor \"highlight_red%28+5+%29\"
It becomes \"highlight_green%28+5+%29%2Ay-83=0\".
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Look at \"highlight_red%28+5%2Ay-83+%29=0\".
Solved linear equation \"highlight_red%28+5%2Ay-83=0+%29\" equivalent to 5*y-83 =0
It becomes \"highlight_green%28+0+%29=0\".
Result: \"0=0\"
\n" ); document.write( "This is an equation! Solutions: y=16.6.

Universal Simplifier and Solver

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Done!

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\n" ); document.write( "\n" ); document.write( "y=\"highlight%2816.6%29\"\r
\n" ); document.write( "\n" ); document.write( "Plug y into the equation to find x\r
\n" ); document.write( "\n" ); document.write( "\"x=+2y-1\"
\n" ); document.write( "\"x=2%2816.6%29-1\"
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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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    \n" ); document.write( "
  • This is an equation! Solutions: x=32.2.
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  • Graphical form: Equation \"x=2%2A%2816.6%29-1\" was fully solved.
  • Text form: x=2*(16.6)-1 simplifies to 0=0
  • Cartoon (animation) form: \"simplify_cartoon%28+x=2%2A%2816.6%29-1+%29\"
    For tutors: simplify_cartoon( x=2*(16.6)-1 )
    • \n" ); document.write( "
  • If you have a website, here's a link to this solution.
    • \n" ); document.write( "
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\n" ); document.write( "

DETAILED EXPLANATION

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Look at \"x=highlight_red%28+2%2A%28highlight_red%28+16.6+%29%29+%29-1\".
Remove unneeded parentheses around factor \"highlight_red%28+16.6+%29\"
It becomes \"x=2%2Ahighlight_green%28+16.6+%29-1\".
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Look at \"x=highlight_red%28+2%2A16.6+%29-highlight_red%28+1+%29\".
Replace constants in expression: \"highlight_red%28+2%2A16.6+%29\",\"highlight_red%28+-1+%29\" with \"highlight_green%28+32.2+%29\"
It becomes \"x=highlight_green%28+32.2+%29\".
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Look at \"x=highlight_red%28+32.2+%29\".
Moved these terms to the left \"highlight_green%28+-32.2+%29\"
It becomes \"x-highlight_green%28+32.2+%29=0\".
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Look at \"highlight_red%28+x-32.2+%29=0\".
Solved linear equation \"highlight_red%28+x-32.2=0+%29\" equivalent to x-32.2 =0
It becomes \"highlight_green%28+0+%29=0\".
Result: \"0=0\"
\n" ); document.write( "This is an equation! Solutions: x=32.2.

Universal Simplifier and Solver

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Done!

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\n" ); document.write( "\n" ); document.write( "x=\"highlight%2832.2%29\"
\n" ); document.write( "If you need more detailed explanations, you can see the lesson I wrote on substitution.
\n" ); document.write( "Hope this helps! \n" ); document.write( "
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