document.write( "Question 503692: solve by the substitution method
\n" ); document.write( "6x+5y=1
\n" ); document.write( "x=11-3y \n" ); document.write( "

Algebra.Com's Answer #339362 by nic0le116(25) $\"\"$ $\"About$

You can put this solution on YOUR website!
Since you see x=11-3y, you will take what x equals (11-3y) and replace x in the other with this to solve for y.
\n" ); document.write( "---------------------------
\n" ); document.write( "Take 6x+5y=1
\n" ); document.write( "Replace x with (11-3y)\r
\n" ); document.write( "\n" ); document.write( "6(11-3y)+5y=1 (distribute 6)
\n" ); document.write( "66-18y+5y=1 (combine like terms)
\n" ); document.write( "66-13y=1 (get the term attached to y by itself. subtract 66 from each side)
\n" ); document.write( "-13y=-65 (get y alone, divide both side by -13)
\n" ); document.write( "y=5
\n" ); document.write( "------------------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Now that you have the value of y, you need to replace y in one of the equations to get the value of x.\r
\n" ); document.write( "\n" ); document.write( "6x+5(5)=1
\n" ); document.write( "6x+25=1
\n" ); document.write( "6x=-24
\n" ); document.write( "x=-4\r
\n" ); document.write( "\n" ); document.write( "------------------------
\n" ); document.write( "ANSWERS=
\n" ); document.write( "x=-4
\n" ); document.write( "y=5 \n" ); document.write( "

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