document.write( "Question 61339: Can you explain to me how to solve this system by graphing? The problem is 3x+2y=6 x-y=7 \n" ); document.write( "
Algebra.Com's Answer #42221 by jai_kos(139)\"\" \"About 
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Can you explain to me how to solve this system by graphing? The problem is 3x+2y=6 x-y=7\r
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\n" ); document.write( "\n" ); document.write( "SOLUTION:\r
\n" ); document.write( "\n" ); document.write( "FIRST OF ALL TAKE THE FIRST EQUATION\r
\n" ); document.write( "\n" ); document.write( "3x+2y =6\r
\n" ); document.write( "\n" ); document.write( "when x = 0, 3* 0 + 2y =6\r
\n" ); document.write( "\n" ); document.write( "==> y = 3\r
\n" ); document.write( "\n" ); document.write( "when x =1 , 3 * 1+ 2y = 6\r
\n" ); document.write( "\n" ); document.write( "==> 2y = 6-3=3\r
\n" ); document.write( "\n" ); document.write( "==> y = 3/2 = 1.5\r
\n" ); document.write( "\n" ); document.write( "when y = 0, 3x +2*0 = 6\r
\n" ); document.write( "\n" ); document.write( "==> 3x = 6 \r
\n" ); document.write( "\n" ); document.write( "==> x = 6/3 = 2\r
\n" ); document.write( "\n" ); document.write( "when y =1 , 3x + 2*1 =6 \r
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\n" ); document.write( "\n" ); document.write( "==> 3x = 6 - 2= 3\r
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\n" ); document.write( "\n" ); document.write( "==> x = 1\r
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\n" ); document.write( "\n" ); document.write( "so we have the points like thios,\r
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\n" ); document.write( "\n" ); document.write( "( x, y )\r
\n" ); document.write( "\n" ); document.write( "( o, 3 )\r
\n" ); document.write( "\n" ); document.write( "(1 ,1.5)\r
\n" ); document.write( "\n" ); document.write( "(2 , 0 )\r
\n" ); document.write( "\n" ); document.write( "(1 , 1 )\r
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\n" ); document.write( "\n" ); document.write( "Now plot the lines on the graph, and join them.\r
\n" ); document.write( "\n" ); document.write( "Similarly take other equations and find out values for x and y and make a list like above
\n" ); document.write( "Now plot the points in the graph paper.\r
\n" ); document.write( "\n" ); document.write( "Join them\r
\n" ); document.write( "\n" ); document.write( "then the two graphs will appear like this,\r
\n" ); document.write( "\n" ); document.write( "For graphing in computer you must have to convert the equations in terms of x.
\n" ); document.write( "for example here we have to change them like,\r
\n" ); document.write( "\n" ); document.write( "y =6/2-3x/2\r
\n" ); document.write( "\n" ); document.write( "==>y = 3 - 3x/2\r
\n" ); document.write( "\n" ); document.write( "and x -y = 7 \r
\n" ); document.write( "\n" ); document.write( "==> y = x - 7\r
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\n" ); document.write( "\n" ); document.write( "\"+graph%28+600%2C+500%2C+-10%2C+10%2C+-15%2C+15%2C3+-+3x%2F2%2Cx-7%29\"
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\n" ); document.write( "\n" ); document.write( "now find of out the point of intersection of these two graphs\r
\n" ); document.write( "\n" ); document.write( "which is( 4, -4) the solution of the equations.\r
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