document.write( "Question 1000186: I usually know how to do questions involving substitution but this one is really proving difficult \r
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document.write( "x/3+y/2=-4
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document.write( "x-3y=6 \r
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document.write( "I tried substituting for the x but I'm not even sure where to go from there \n" );
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Algebra.Com's Answer #617737 by addingup(3677)![]() ![]() You can put this solution on YOUR website! x/3+y/2=-4 \n" ); document.write( "x-3y=6 \n" ); document.write( "-------------------- \n" ); document.write( "Let's begin by getting the fractions out of the way. On the first equation, multiply both sides by 6 (because 6 is a common denominator for 3 and 2): \n" ); document.write( "x/3+y/2=-4 \n" ); document.write( "6(x/3)+6(y/2)= 6(-4) \n" ); document.write( "2x+3y= -24 This is now our 1st equation. \n" ); document.write( "----------------------------- \n" ); document.write( "x-3y= 6 Add 3y on both sides: \n" ); document.write( "x= 6+3y Now let's substitute this value for x: \n" ); document.write( "------------------------------- \n" ); document.write( "2(6+3y)+3y= -24 \n" ); document.write( "12+6y+3y= -24 Subtract 12 from both sides and add y on left \n" ); document.write( "9y= -36 Divide by 9 \n" ); document.write( "y= -4 \n" ); document.write( "And we said that x was: \n" ); document.write( "x= 6+3y \n" ); document.write( "x= 6+3(-4) \n" ); document.write( "x= 6+-12 \n" ); document.write( "x= - 6 \n" ); document.write( "------------------ \n" ); document.write( "Proof: \n" ); document.write( "x/3+y/2=-4 \n" ); document.write( "-6/3+-4/2= -4 \n" ); document.write( "-2+-2= -4 We have the correct answer here. You do the same with the other equation and you'll find we have the correct answer. \n" ); document.write( "--------------------------------------- \n" ); document.write( "Now let’s find x: \n" ); document.write( "x= 6+3(-4) \n" ); document.write( "x= 6- 12 \n" ); document.write( "x= -6 \n" ); document.write( " \n" ); document.write( " |