document.write( "Question 26607: -3x+5y=11
\n" ); document.write( " x=2y-5 \n" ); document.write( "
Algebra.Com's Answer #14450 by Alwayscheerful(414)\"\" \"About 
You can put this solution on YOUR website!
All you have to do is plug in the x= equation in for x in the first equation.
\n" ); document.write( "\"-3%282y-5%29%2B5y=11\"
\n" ); document.write( "\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:

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

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


\n" ); document.write( "\n" ); document.write( "
    \n" ); document.write( "
  • This is an equation! Solutions: y=4.
    • \n" ); document.write( "
  • Graphical form: Equation \"-3%2A%282y-5%29%2B5y=11\" was fully solved.
  • Text form: -3*(2y-5)+5y=11 simplifies to 0=0
  • Cartoon (animation) form: \"simplify_cartoon%28+-3%2A%282y-5%29%2B5y=11+%29\"
    For tutors: simplify_cartoon( -3*(2y-5)+5y=11 )
    • \n" ); document.write( "
  • If you have a website, here's a link to this solution.
    • \n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "

DETAILED EXPLANATION

\n" ); document.write( "
Look at \"-3%2A%282%2Ay-5%29%2B5%2Ay=highlight_red%28+11+%29\".
Moved these terms to the left \"highlight_green%28+-11+%29\"
It becomes \"-3%2A%282%2Ay-5%29%2B5%2Ay-highlight_green%28+11+%29=0\".
\n" ); document.write( "
Look at \"-highlight_red%28+3%2A%282%2Ay-5%29+%29%2B5%2Ay-11=0\".
Expanded term \"-3\" by using associative property on \"%282%2Ay-5%29\"
It becomes \"-highlight_green%28+3%2A2%2Ay+%29%2Bhighlight_green%28+3%2A5+%29%2B5%2Ay-11=0\".
\n" ); document.write( "
Look at \"-highlight_red%28+3+%29%2Ahighlight_red%28+2+%29%2Ay%2B3%2A5%2B5%2Ay-11=0\".
Multiplied numerator integers
It becomes \"-highlight_green%28+6+%29%2Ay%2B3%2A5%2B5%2Ay-11=0\".
\n" ); document.write( "
Look at \"-6%2Ay%2Bhighlight_red%28+3+%29%2Ahighlight_red%28+5+%29%2B5%2Ay-11=0\".
Multiplied numerator integers
It becomes \"-6%2Ay%2Bhighlight_green%28+15+%29%2B5%2Ay-11=0\".
\n" ); document.write( "
Look at \"-6%2Ay%2Bhighlight_red%28+15+%29%2B5%2Ay-highlight_red%28+11+%29=0\".
Added fractions or integers together
It becomes \"-6%2Ay%2Bhighlight_green%28+4+%29%2B5%2Ay=0\".
\n" ); document.write( "
Look at \"-6%2Ay%2Bhighlight_red%28+4+%29%2B5%2Ay=0\".
Moved \"4\" to the right of expression
It becomes \"-6%2Ay%2B5%2Ay%2Bhighlight_green%28+4+%29=0\".
\n" ); document.write( "
Look at \"-highlight_red%28+6%2Ay+%29%2Bhighlight_red%28+5%2Ay+%29%2B4=0\".
Eliminated similar terms \"highlight_red%28+-6%2Ay+%29\",\"highlight_red%28+5%2Ay+%29\" replacing them with \"highlight_green%28+%28-6%2B5%29%2Ay+%29\"
It becomes \"highlight_green%28+%28-6%2B5%29%2Ay+%29%2B4=0\".
\n" ); document.write( "
Look at \"%28-highlight_red%28+6+%29%2Bhighlight_red%28+5+%29%29%2Ay%2B4=0\".
Added fractions or integers together
It becomes \"%28highlight_green%28+-1+%29%29%2Ay%2B4=0\".
\n" ); document.write( "
Look at \"%28highlight_red%28+-1+%29%29%2Ay%2B4=0\".
Removed extra sign in front of \"-1\"
It becomes \"%28-highlight_green%28+1+%29%29%2Ay%2B4=0\".
\n" ); document.write( "
Look at \"highlight_red%28+%28-highlight_red%28+1+%29%29%2Ay+%29%2B4=0\".
Remove unneeded parentheses around factor \"highlight_red%28+1+%29\"
It becomes \"-highlight_green%28+1+%29%2Ay%2B4=0\".
\n" ); document.write( "
Look at \"-highlight_red%28+1+%29%2Ay%2B4=0\".
Remove extraneous '1' from product \"highlight_red%28+1+%29\"
It becomes \"-y%2B4=0\".
\n" ); document.write( "
Look at \"highlight_red%28+-y%2B4+%29=0\".
Solved linear equation \"highlight_red%28+-y%2B4=0+%29\" equivalent to -y+4 =0
It becomes \"highlight_green%28+0+%29=0\".
Result: \"0=0\"
\n" ); document.write( "This is an equation! Solutions: y=4.

Universal Simplifier and Solver

\n" ); document.write( "
Done!

\n" ); document.write( "\n" ); document.write( "Now you know \"y=4\", plug 4 in for y and you'll get x
\n" ); document.write( "\"x=2%284%29-5\"
\n" ); document.write( "\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:

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

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


\n" ); document.write( "\n" ); document.write( "
    \n" ); document.write( "
  • This is an equation! Solutions: x=3.
    • \n" ); document.write( "
  • Graphical form: Equation \"x=2%2A%284%29-5\" was fully solved.
  • Text form: x=2*(4)-5 simplifies to 0=0
  • Cartoon (animation) form: \"simplify_cartoon%28+x=2%2A%284%29-5+%29\"
    For tutors: simplify_cartoon( x=2*(4)-5 )
    • \n" ); document.write( "
  • If you have a website, here's a link to this solution.
    • \n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "

DETAILED EXPLANATION

\n" ); document.write( "
Look at \"x=highlight_red%28+2%2A%28highlight_red%28+4+%29%29+%29-5\".
Remove unneeded parentheses around factor \"highlight_red%28+4+%29\"
It becomes \"x=2%2Ahighlight_green%28+4+%29-5\".
\n" ); document.write( "
Look at \"x=highlight_red%28+2+%29%2Ahighlight_red%28+4+%29-5\".
Multiplied numerator integers
It becomes \"x=highlight_green%28+8+%29-5\".
\n" ); document.write( "
Look at \"x=highlight_red%28+8+%29-highlight_red%28+5+%29\".
Added fractions or integers together
It becomes \"x=highlight_green%28+3+%29\".
\n" ); document.write( "
Look at \"x=highlight_red%28+3+%29\".
Moved these terms to the left \"highlight_green%28+-3+%29\"
It becomes \"x-highlight_green%28+3+%29=0\".
\n" ); document.write( "
Look at \"highlight_red%28+x-3+%29=0\".
Solved linear equation \"highlight_red%28+x-3=0+%29\" equivalent to x-3 =0
It becomes \"highlight_green%28+0+%29=0\".
Result: \"0=0\"
\n" ); document.write( "This is an equation! Solutions: x=3.

Universal Simplifier and Solver

\n" ); document.write( "
Done!

\n" ); document.write( "\n" ); document.write( "Now you get \"x=3\"
\n" ); document.write( "So, your answer is (3,4)
\n" ); document.write( "Hope this helps! \n" ); document.write( "
\n" );