document.write( "Question 26051: Hello, I would like to know if someone can help me figure out how to do this type of problem. I'm not so much concerned with getting answers, more I need to understand how to do it myself. Thanks :o)\r
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document.write( "Solve the system of equations using the substitution method.
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document.write( "3x + y = 2
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document.write( "2x – y = 3\r
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document.write( "Solve the system of equations using the addition (elimination) method.
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document.write( "3x – 11y = 9
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document.write( "-9x + 33y = 18
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Algebra.Com's Answer #13994 by Ashley1516(4)![]() ![]() ![]() You can put this solution on YOUR website! Hey, \n" ); document.write( "I can help u with the first problem but I'm not sure about the second one. \n" ); document.write( "OK...First, you need to either get the y or the x by itself, with this problem it's easier to get the y in equation 1. Since 3x is positive, subtract it from both sides of the eq. (from itself & 2). Like so: \n" ); document.write( "3x+y=2(eq.1) \n" ); document.write( "-3x -3x \n" ); document.write( "--------- \n" ); document.write( "Switch it around: \n" ); document.write( "y=-3x+2 Ah Ha! Now u know what y equals, so u can SUBSTITUTE it into eq.2!\r \n" ); document.write( "\n" ); document.write( "2x-y=3(eq.2) \n" ); document.write( "2x-(-3x+2)=3 Solve this: \n" ); document.write( "2x+3x-2=3 Add the two likes together(x's): \n" ); document.write( "5x-2=3 Add 2 to both sides of the eq.: \n" ); document.write( " +2+2 \n" ); document.write( "-------- \n" ); document.write( "5x=5 Divide by 5: \n" ); document.write( "*x=1* Ok...U have the x, now just find the y by useing SUBSTITUTION again! \n" ); document.write( "Plug the x into eq.1: \n" ); document.write( "3(1)+y=2 Now solve: \n" ); document.write( "3+y=2 Subtract 3 from both sides: \n" ); document.write( "-3 -3 \n" ); document.write( "------ \n" ); document.write( "*y=-1* You've got y! \n" ); document.write( "NOW, YOUR ANSWER IS(x,y): \n" ); document.write( "*(1,-1)*\r \n" ); document.write( "\n" ); document.write( "How to CHECK your answer, \n" ); document.write( "Plug in the x & y into both equations: \n" ); document.write( "3x+y=2 \n" ); document.write( "3(1)=-1=2 \n" ); document.write( "3=-1=2 \n" ); document.write( "2=2 CORRECT!\r \n" ); document.write( "\n" ); document.write( "2x-y=3 \n" ); document.write( "2(1)-(-1)=2 \n" ); document.write( "2-(-1)=3 \n" ); document.write( "3=3 CORRECT!\r \n" ); document.write( "\n" ); document.write( "I REALLY hope this helps! \n" ); document.write( "~aShLeY~\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |