document.write( "Question 565619: Use the system to answer the question\r
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document.write( "{x+3y=6}
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document.write( "{4x + 6y = -6} \r
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document.write( "Note: The problem above are both under the { symbol, the first one is over the second one.\r
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document.write( "These are the choices for the problem \r
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document.write( "(-9, 5)
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document.write( " (-3, 3)
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document.write( " (6, 3)
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document.write( " (12, -2)
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document.write( " I'm not sure how I got it wrong. The correct answer was the first one. (I have the answers, so I can redo the ones I missed, but I have to show my work, and I don't know how to get that answer.) Could you look over my work that I did and explain how to get the solution? Thanks, much appreciated. \r
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document.write( "My Work:
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document.write( "{x+3y=6}
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document.write( "{4x + 6y = -6} \r
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document.write( "1. I multiply the first equation by -4 so I can eliminate the 4x
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document.write( "(-4) {x+3y=6} + {-4x -12y = -24}\r
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document.write( "2. I eliminate the 4x from the problem
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document.write( "{-4x - 12y = -24}
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document.write( "{4x + 6y = -6}\r
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document.write( "(-4 and 4 crosses out so I'm left with\"\r
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document.write( "0x - 12y = -24
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document.write( "0x + 6y = -6\r
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document.write( "3. Then I solve:
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document.write( "-12 and a + 6 gets a -6. -24 and -6 gets -18\r
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document.write( "so I get 0x -6y = -18 \r
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document.write( "From there I am stuck. I'm not sure if I use substitution or elimination or what.\r
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document.write( "Thanks for your help!\r
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document.write( "
Algebra.Com's Answer #365884 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! {x+3y=6} \n" ); document.write( "{4x + 6y = -6} \n" ); document.write( "---------------- \n" ); document.write( "Multiply thru the 1st equation by 2: \n" ); document.write( "2x + 6y = 12 \n" ); document.write( "4x + 6y = -6 \n" ); document.write( "---------------------- \n" ); document.write( "Subtract and solve for \"x\": \n" ); document.write( "2x = -18 \n" ); document.write( "x = -9 \n" ); document.write( "--------------- \n" ); document.write( "Solve for \"y\": \n" ); document.write( "x + 3y = 6 \n" ); document.write( "-9 + 3y = 6 \n" ); document.write( "3y = 15 \n" ); document.write( "y = 5 \n" ); document.write( "------------------- \n" ); document.write( "Solution: (-9,5) \n" ); document.write( "==================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "These are the choices for the problem \n" ); document.write( "(-9, 5) \n" ); document.write( "(-3, 3) \n" ); document.write( "(6, 3) \n" ); document.write( "(12, -2) \n" ); document.write( " \n" ); document.write( " |