document.write( "Question 859318: 3x-11y=20
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document.write( "2x=4y+10 \n" );
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Algebra.Com's Answer #517687 by JulietG(1812)![]() ![]() You can put this solution on YOUR website! 3x-11y=20 \n" ); document.write( "2x=4y+10 \n" ); document.write( ". \n" ); document.write( "Take a look at the second equation. What do you notice? \n" ); document.write( "We can see that x can easily be found. \n" ); document.write( "2x=4y+10 \n" ); document.write( "Divide each side by 2 \n" ); document.write( "X = 2Y + 5 \n" ); document.write( "Now, take the value of X and put it into the first equation. \n" ); document.write( "3x-11y=20 \n" ); document.write( "3(2Y+5)-11y=20 \n" ); document.write( "Distribute \n" ); document.write( "6Y+5-11y=20 \n" ); document.write( "Subtract 5 from each side \n" ); document.write( "6Y-11Y=15 \n" ); document.write( "-5Y = 15 \n" ); document.write( "Divide each side by -5 \n" ); document.write( "Y = -3 \n" ); document.write( ". \n" ); document.write( "x = 2Y + 5 \n" ); document.write( "x = -6 + 5 \n" ); document.write( "x = -1 \n" ); document.write( ". \n" ); document.write( "Let's prove it by putting it into the equation above. \n" ); document.write( "2x=4y+10 \n" ); document.write( "2(-1)=4(-3)+10 \n" ); document.write( "-2 = 12+10 \n" ); document.write( "-2 = -2 \n" ); document.write( "Success! \n" ); document.write( " |