document.write( "Question 200992: please solve 4x-12y=16
\n" ); document.write( " 8x+4y=24
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Algebra.Com's Answer #151223 by jojo14344(1513)\"\" \"About 
You can put this solution on YOUR website!

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\n" ); document.write( "Given:\"system%284x-12y=16%28red%28EQN1%29%29%2C8x%2B4y=24%28red%28EQN2%29%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "Multiply \"red%28EQN2%29\" by 3 then add to \"red%28EQN1%29\":
\n" ); document.write( "(\"8x%2B4y=24%28red%28EQN2%29%29\")(\"3\")
\n" ); document.write( "\"red%2824x%2B12y=72%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"4x-cross%2812y%29=16%28red%28EQN1%29%29\"
\n" ); document.write( "+\"red%2824x%2Bcross%2812y%29=72%29\"
\n" ); document.write( "----------------------------
\n" ); document.write( "\"28x=88\" ---> \"cross%2828%29x%2Fcross%2828%29=88%2F28=22%2F7\"
\n" ); document.write( "\"highlight%28red%28x=22%2F7%29%29\", subst. in \"red%28EQN1%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"4%28highlight%2822%2F7%29%29-12y=16\"
\n" ); document.write( "\"88%2F7-16=12y\"
\n" ); document.write( "\"%2888-112%29%2F7=12y\" ----> \"-24%2F7=12y\" ----> \"%28-24%2F7%29%2F12=cross%2812%29y%2Fcross%2812%29\"
\n" ); document.write( "\"y=%28-24%2F7%2A12%29=-24%2F84\", divide both by 12
\n" ); document.write( "\"highlight%28red%28y=-2%2F7%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "*These two lines meet at point (22/7,-2/7) or (3.14,-0.2857)
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\n" ); document.write( "\n" ); document.write( "In \"red%28EQN1%29\", let Fy=0:
\n" ); document.write( "\"4x-12y=16\"
\n" ); document.write( "\"4x-12%280%29=16\" ---> \"4x=16\" --->\"cross%284%29x%2Fcross%284%29=cross%2816%294%2Fcross%284%29\"
\n" ); document.write( "\"x=4\", X-Intercept
\n" ); document.write( "Let fx=0:
\n" ); document.write( "\"4%280%29-12y=16\"
\n" ); document.write( "\"-12y=16\" ---> \"y=16%2F-12\"
\n" ); document.write( "\"y=-4%2F3\", Y-Intercept\r
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\n" ); document.write( "\n" ); document.write( "In \"red%28EQN2%29\", let Fy=0:
\n" ); document.write( "\"8x%2B4y=24\"
\n" ); document.write( "\"8x%2B4%280%29=24\" ---> \"cross%288%29x%2Fcross%288%29=cross%2824%293%2Fcross%288%29\"
\n" ); document.write( "\"x=3\", X-Intercept
\n" ); document.write( "let Fx=0:
\n" ); document.write( "\"8%280%29%2B4y=24\" ---> \"cross%284%29y%2Fcross%284%29=cross%2824%296%2Fcross%284%29\"
\n" ); document.write( "\"y=6\", Y-Intercept\r
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\n" ); document.write( "\n" ); document.write( "Thank you,
\n" ); document.write( "Jojo
\r
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