document.write( "Question 1090552: Given the system of equations.
\n" ); document.write( "4x+y=8
\n" ); document.write( "6x-9y=12
\n" ); document.write( "Which of the options represents the resulting equation after an equivalent expression for y is substituted into the second equation?
\n" ); document.write( "6x - 9(4x - 8) = 12
\n" ); document.write( "4x + 4x - 8 = 8
\n" ); document.write( "6(4x - 8) - 9y = 12
\n" ); document.write( "6x - 9(-4x + 8) = 12
\n" ); document.write( "I also do not understand how to find this, so any help would be nice on that subject
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Algebra.Com's Answer #704986 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
Start with the first equation 4x+y=8. \r
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\n" ); document.write( "\n" ); document.write( "Isolate y. In other words, get y all by itself on its own side. We do this by subtracting 4x from both sides\r
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\n" ); document.write( "\n" ); document.write( "4x+y=8\r
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\n" ); document.write( "\n" ); document.write( "4x+y-4x=8-4x\r
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\n" ); document.write( "\n" ); document.write( "y=8-4x\r
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\n" ); document.write( "\n" ); document.write( "y=-4x+8\r
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\n" ); document.write( "\n" ); document.write( "The equation y=-4x+8 basically says that y is the same as -4x+8. Because of this, we can replace every 'y' in the second equation with '-4x+8'\r
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\n" ); document.write( "\n" ); document.write( "6x-9y=12\r
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\n" ); document.write( "\n" ); document.write( "6x-9( y )=12\r
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\n" ); document.write( "\n" ); document.write( "6x-9( y )=12\r
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\n" ); document.write( "\n" ); document.write( "6x-9( -4x+8 )=12 ... note how the terms in blue indicate how the replacement is happening\r
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\n" ); document.write( "\n" ); document.write( "So the answer is choice D\r
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