document.write( "Question 548386: Solve the system of equations using substitution.\r
\n" ); document.write( "\n" ); document.write( "x2 + y2 = 169
\n" ); document.write( "x + y = 17 \n" ); document.write( "
Algebra.Com's Answer #356962 by mananth(16946)\"\" \"About 
You can put this solution on YOUR website!
x^2+y^2=169
\n" ); document.write( "x+y=17\r
\n" ); document.write( "\n" ); document.write( "x=17-y\r
\n" ); document.write( "\n" ); document.write( "(17-y)^2+y^2=169\r
\n" ); document.write( "\n" ); document.write( "189-34y+y^2+y^2=169
\n" ); document.write( "20-34y+2y^2=0
\n" ); document.write( "/2
\n" ); document.write( "10-17y+y^2=0\r
\n" ); document.write( "\n" ); document.write( "y^2-17y+10=0
\n" ); document.write( "Find the roots of the equation by quadratic formula
\n" ); document.write( "
\n" ); document.write( "a= 1 ,b= -17 ,c= 10
\n" ); document.write( "
\n" ); document.write( "b^2-4ac= 289 + -40
\n" ); document.write( "b^2-4ac= 249
\n" ); document.write( "\"x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29\" 15.78
\n" ); document.write( "\"x1=%28-b%2Bsqrt%28b%5E2-4ac%29%29%2F%282a%29\"
\n" ); document.write( "\"x1=%28-12%2B21%29%2F%2812%29\"
\n" ); document.write( "x1=( 17 + 15.78 )/ 2
\n" ); document.write( "x1= 16.39
\n" ); document.write( "x2=( 17 -15.78 ) / 2
\n" ); document.write( "x2= 0.61
\n" ); document.write( "x=16.39 so y=0.61
\n" ); document.write( "x=0.61 so y=16.39
\n" ); document.write( "m.ananth@hotmail.ca
\n" ); document.write( " \n" ); document.write( "
\n" );