document.write( "Question 1000186: I usually know how to do questions involving substitution but this one is really proving difficult \r
\n" ); document.write( "\n" ); document.write( "x/3+y/2=-4
\n" ); document.write( "x-3y=6 \r
\n" ); document.write( "\n" ); document.write( "I tried substituting for the x but I'm not even sure where to go from there
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Algebra.Com's Answer #617737 by addingup(3677)\"\" \"About 
You can put this solution on YOUR website!
x/3+y/2=-4
\n" ); document.write( "x-3y=6
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\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.
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\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:
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\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.
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\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
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