document.write( "Question 190108: Solve this system using the Substitution Method: \r
\n" ); document.write( "\n" ); document.write( "x + y = 7/2\r
\n" ); document.write( "\n" ); document.write( "4x - 3y = -14
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Algebra.Com's Answer #142687 by cutepiscean5(19)\"\" \"About 
You can put this solution on YOUR website!
Substitution method---\r
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\n" ); document.write( "\n" ); document.write( "From the first equation take out one variable in terms of the other and substitute it in the other equation.\r
\n" ); document.write( "\n" ); document.write( "we have:\r
\n" ); document.write( "\n" ); document.write( "\"+x+%2B+y+=+7%2F2+\"
\n" ); document.write( "=> \"+x+=+7%2F2+-+y+\"\r
\n" ); document.write( "\n" ); document.write( "Now, substitute this value of x, into equation 2.\r
\n" ); document.write( "\n" ); document.write( "\"+4x+-+3y+=+-14+\"
\n" ); document.write( "=> \"+4%2A%287%2F2+-+y%29+-+3y+=+-14+\" (Now, use distributive law to open the brackets)
\n" ); document.write( "=> \"+14+-+4y+-+3y+=+-14+\"
\n" ); document.write( "=> \"+14+-+7y+=+-14+\" (Next, bring -14 to the Left hand side by adding both sides by 14 and bring -7y to the Right hand side by adding both sides by 7y)
\n" ); document.write( "=> \"+14+%2B+14+=+7y+\" (Next, Re-arrange the equation)
\n" ); document.write( "=> \"+7y+=+14+%2B+14+\"
\n" ); document.write( "=> \"+7y+=+28+\"
\n" ); document.write( "=> \"+y+=+28%2F7+\"
\n" ); document.write( "=> \"+highlight%28y+=+4%29+\"\r
\n" ); document.write( "\n" ); document.write( "plug back this value of y into the value of x to obtain x.\r
\n" ); document.write( "\n" ); document.write( "=> \"+x+=+7%2F2+-+y+\"
\n" ); document.write( "=> \"+x+=+7%2F2+-+4+\"
\n" ); document.write( "=> \"+highlight%28x+=+-1%2F2%29+\"\r
\n" ); document.write( "\n" ); document.write( "hope this helps.
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