document.write( "Question 847854: Solve x+2y=3 and 5x+4y=8 by method of substitution. Show your work too \n" ); document.write( "
Algebra.Com's Answer #510729 by mxgirl22(39)\"\" \"About 
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\n" ); document.write( "Solve by method of substitution. Show your work.\r
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\n" ); document.write( "\n" ); document.write( "\"x%2B2y=3\"\r
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\n" ); document.write( "\n" ); document.write( "\"5x%2B4y=8\"\r
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\n" ); document.write( "Step 1.) I like to label each equation, so I'm going to do that now.\r
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\n" ); document.write( "\n" ); document.write( "Equation 1.) \"x%2B2y=3\"\r
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\n" ); document.write( "\n" ); document.write( "Equation 2.) \"5x%2B4y=8\"\r
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\n" ); document.write( "Step 2.) I can see that Equation #1 is going to be easier to manipulate.\r
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\n" ); document.write( "\n" ); document.write( "Equation 1.) \"x%2B2y=3\"\r
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\n" ); document.write( "\n" ); document.write( "**Get \"x\" by itself in Equation #1.\r
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\n" ); document.write( "\n" ); document.write( "Equation 1.) \r
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\n" ); document.write( "\n" ); document.write( "\"x%2B2y=3\"\r
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\n" ); document.write( "\n" ); document.write( "\"x%2B2y-2y=3-2y\"\r
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\n" ); document.write( "\n" ); document.write( "\"x=3-2y\" <------ I'm calling this Equation #3.\r
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\n" ); document.write( "Step 3.) Using Equation #3, plug in to Equation #2.\r
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\n" ); document.write( "\n" ); document.write( "**Note:\r
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\n" ); document.write( "\n" ); document.write( "Equation 2.)\"5x%2B4y=8\"\r
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\n" ); document.write( "\n" ); document.write( "Equation 3.)\"x=3-2y\"\r
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\n" ); document.write( "\n" ); document.write( "\"5%283-2y%29%2B4y=8\" <------ I'm calling this Equation #4.\r
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\n" ); document.write( "Step 4.) Solve for \"y\", using equation #4.\r
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\n" ); document.write( "\n" ); document.write( "\"5%283-2y%29%2B4y=8\"\r
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\n" ); document.write( "\n" ); document.write( "\"15-10y%2B4y=8\"\r
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\n" ); document.write( "\n" ); document.write( "\"15-6y=8\"\r
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\n" ); document.write( "\n" ); document.write( "\"15-15-6y=8-15\"\r
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\n" ); document.write( "\n" ); document.write( "\"-6y=-7\"\r
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\n" ); document.write( "\n" ); document.write( "\"-6y%2F-6=-7%2F-6\"\r
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\n" ); document.write( "\n" ); document.write( "\"y=7%2F6\"\r
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\n" ); document.write( "Step 5.) Using the value we got for \"y\" in step 4, plug in to either Equation #1 or Equation #2.\r
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\n" ); document.write( "\n" ); document.write( "Equation 1.)\r
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\n" ); document.write( "\n" ); document.write( "\"x%2B2y=3\"\r
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\n" ); document.write( "\n" ); document.write( "\"x%2B2%287%2F6%29=3\"\r
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\n" ); document.write( "\n" ); document.write( "\"x%2B%287%2F3%29=3\"\r
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\n" ); document.write( "\n" ); document.write( "\"x%2B%287%2F3%29-%287%2F3%29=3-%287%2F3%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"x=2%2F3\"\r
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\n" ); document.write( "Step 6.) Check using \"x=+2%2F3\" and \"y=+7%2F6+\".\r
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\n" ); document.write( "\n" ); document.write( "Equation 2.)\r
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\n" ); document.write( "\n" ); document.write( "\"5x%2B4y=8\"\r
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\n" ); document.write( "\n" ); document.write( "\"5%282%2F3%29%2B4%287%2F6%29=8\"\r
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\n" ); document.write( "\n" ); document.write( "\"%2810%2F3%29%2B4%287%2F6%29=8\"\r
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\n" ); document.write( "\n" ); document.write( "\"%2810%2F3%29%2B%2814%2F3%29=8\"\r
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\n" ); document.write( "\n" ); document.write( "\"24%2F3=8\"\r
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\n" ); document.write( "\n" ); document.write( "\"8=8\"\r
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\n" ); document.write( "\n" ); document.write( "Checks!\r
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\n" ); document.write( "Step 7.) Answer.\r
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\n" ); document.write( "\n" ); document.write( "\"x=+2%2F3\" \r
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\n" ); document.write( "\n" ); document.write( "\"y=+7%2F6+\"\r
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