document.write( "Question 526550: How would you solve these two problems by doing subsitution 2x-3y=9 and 5x+2y=-6
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Algebra.Com's Answer #348556 by Maths68(1474)![]() ![]() You can put this solution on YOUR website! 2x-3y=9........(1) \n" ); document.write( "5x+2y=-6.......(2)\r \n" ); document.write( "\n" ); document.write( "Take (1) \n" ); document.write( "2x-3y=9 \n" ); document.write( "2x=9+3y \n" ); document.write( "2x/2=(9+3y)/2 \n" ); document.write( "x=(9+3y)/2\r \n" ); document.write( "\n" ); document.write( "Put the value of x in (2) \n" ); document.write( "5((9+3y)/2)+2y=-6 \n" ); document.write( "Multiply by 2 both sides \n" ); document.write( "2*(5((9+3y)/2)+2*2y=-6*2 \n" ); document.write( "5(9+3y)+4y=-12 \n" ); document.write( "45+15y+4y=-12 \n" ); document.write( "19y=-12-45 \n" ); document.write( "19y=-57 \n" ); document.write( "19y/19=-57/19 \n" ); document.write( "y=-3 \n" ); document.write( "Put the value of y in (1) \n" ); document.write( "2x-3y=9 \n" ); document.write( "2x-3(-3)=9 \n" ); document.write( "2x+9=9 \n" ); document.write( "2x=9-9 \n" ); document.write( "2x=0 \n" ); document.write( "2x/2=0/2 \n" ); document.write( "x=0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x,y=0,-3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Check \n" ); document.write( "===== \n" ); document.write( "Put the value of x and y in (1)\r \n" ); document.write( "\n" ); document.write( "2x-3y=9 \n" ); document.write( "2(0)-3(-3)=9 \n" ); document.write( "9=9\r \n" ); document.write( "\n" ); document.write( "Put the value of x and y in (2) \n" ); document.write( "5x+2y=-6 \n" ); document.write( "5(0)+2(-3)=-6 \n" ); document.write( "-6=-6 \n" ); document.write( " |