document.write( "Question 507464: Solve by substitution
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document.write( "9x+4y/3=5
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document.write( "4x-y/3=5 \n" );
document.write( "
Algebra.Com's Answer #340523 by Maths68(1474)![]() ![]() You can put this solution on YOUR website! 9x+4y/3=5 ............(1) \n" ); document.write( "4x-y/3=5 .............(2)\r \n" ); document.write( "\n" ); document.write( "Multiply (1) by 3 both sides of the equation \n" ); document.write( "3*(9x+4y/3)=3*5 \n" ); document.write( "27x+4y=15.............(3)\r \n" ); document.write( "\n" ); document.write( "Multiply (2) by 3 both sides of the equation \n" ); document.write( "3*(4x-y/3)=3*5 \n" ); document.write( "12x-y=15...............(4)\r \n" ); document.write( "\n" ); document.write( "Multiply (4) by 4 both sides and add to (3) \n" ); document.write( "4*(12x-y)=4*15...............(4) \n" ); document.write( "48x-4y=60 \n" ); document.write( "27x+4y=15 \n" ); document.write( "------------- \n" ); document.write( "75x=75 \n" ); document.write( "Divide above equation by 75 both sides \n" ); document.write( "75x/75=75/75 \n" ); document.write( "x=1 \n" ); document.write( "Put the value of x in (3) \n" ); document.write( "27x+4y=15.............(3) \n" ); document.write( "27(1)+4y=15 \n" ); document.write( "27+4y=15 \n" ); document.write( "4y=15-27 \n" ); document.write( "4y=-12 \n" ); document.write( "Divide by 4 both side of above equation \n" ); document.write( "4y/4=-12/4 \n" ); document.write( "y=-3\r \n" ); document.write( "\n" ); document.write( "(x,y)=(1, -3)\r \n" ); document.write( "\n" ); document.write( "Check\r \n" ); document.write( "\n" ); document.write( "Put the value of x and y in (1) \n" ); document.write( "9x+4y/3=5 ............(1) \n" ); document.write( "9(1)+4(-3)/3=5 \n" ); document.write( "9-4=5 \n" ); document.write( "5=5 \n" ); document.write( "Put the value of x and y in (2) \n" ); document.write( "4x-y/3=5 .............(2) \n" ); document.write( "4(1)-(-3)/3=5 \n" ); document.write( "4+1=5 \n" ); document.write( "5=5 \n" ); document.write( " |