document.write( "Question 453911: Use the substitution method to solve the following system of equation
\n" ); document.write( "2x-9y=1
\n" ); document.write( "x-4y=9 \n" ); document.write( "
Algebra.Com's Answer #311769 by algebrahouse.com(1659)\"\" \"About 
You can put this solution on YOUR website!
\"Use the substitution method to solve the following system of equations\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "2x - 9y = 1
\n" ); document.write( "x - 4y = 9 ---------> x = 4y + 9 {added 4y to both sides}\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "2x - 9y = 1 {top equation}
\n" ); document.write( "2(4y + 9) - 9y = 1 {substituted 4y + 9, in for x, into top equation}
\n" ); document.write( "8y + 18 - 9y = 1 {used distributive property}
\n" ); document.write( "-y + 18 = 1 {combined like terms}
\n" ); document.write( "-y = -17 {subtracted 18 from both sides}
\n" ); document.write( "y = 17 {divided both sides by -1}\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "x = 4y + 9
\n" ); document.write( "x = 4(17) + 9 {substituted 17, in for y, into 4y + 9}
\n" ); document.write( "x = 68 + 9 {multiplied 4 by 17}
\n" ); document.write( "x = 77 {added 68 and 9}\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "x = 77 and y = 17
\n" ); document.write( "www.algebrahouse.com\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );