document.write( "Question 554395: may you help me solve 2x+3y=13 3x+5y=10 \n" ); document.write( "
Algebra.Com's Answer #361323 by Maths68(1474)\"\" \"About 
You can put this solution on YOUR website!
2x+3y=13 .........(1)
\n" ); document.write( "3x+5y=10 ..........(2)\r
\n" ); document.write( "\n" ); document.write( "Multiply (1) by 3 and (2) by 2
\n" ); document.write( "6x+9y=39.........(3)
\n" ); document.write( "6x+10y=20........(4)
\n" ); document.write( "Subtract (4) from (3)\r
\n" ); document.write( "\n" ); document.write( "6x+9y=39
\n" ); document.write( "-6x-10y=-20
\n" ); document.write( "------------------
\n" ); document.write( "-y=19
\n" ); document.write( "Multiply above equation by (-1)
\n" ); document.write( "(-1)(-y)=(-1)(19)
\n" ); document.write( "y=-19
\n" ); document.write( "Put the value of y in (1)
\n" ); document.write( "2x+3y=13 .........(1)
\n" ); document.write( "2x+3(-19)=13
\n" ); document.write( "2x-57=13
\n" ); document.write( "2x=13+57
\n" ); document.write( "2x=70
\n" ); document.write( "2x/2=70/2
\n" ); document.write( "x=35\r
\n" ); document.write( "\n" ); document.write( "x,y=35, -19\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Check
\n" ); document.write( "=====
\n" ); document.write( "Put the values of x and y in (1)
\n" ); document.write( "2x+3y=13 .........(1)
\n" ); document.write( "2(35)+3(-19)=13
\n" ); document.write( "70-57=13
\n" ); document.write( "13=13
\n" ); document.write( "Put the values of x and y in (2)
\n" ); document.write( "3x+5y=10 ..........(2)
\n" ); document.write( "3(35)+5(-19)=10
\n" ); document.write( "105-95=10
\n" ); document.write( "10=10
\n" ); document.write( "
\n" ); document.write( "
\n" );