document.write( "Question 459012: How do you find x and y of this rectangle when sides:
\n" ); document.write( "AB = -2x
\n" ); document.write( "DC = 7y + 1
\n" ); document.write( "AD = -x
\n" ); document.write( "BC = 2y + 2\r
\n" ); document.write( "\n" ); document.write( "AB = DC
\n" ); document.write( "AD = BC\r
\n" ); document.write( "\n" ); document.write( "I know you use substitution, I'm just not sure how to... Thank you so much in advance!
\n" ); document.write( "

Algebra.Com's Answer #314901 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
How do you find x and y of this rectangle when sides:
\n" ); document.write( "AB = -2x
\n" ); document.write( "DC = 7y + 1
\n" ); document.write( "AD = -x
\n" ); document.write( "BC = 2y + 2
\n" ); document.write( "AB = DC
\n" ); document.write( "AD = BC
\n" ); document.write( ":
\n" ); document.write( "Draw out a rectangle ABCD, label each side as given:
\n" ); document.write( "Put the equations in the standard form
\n" ); document.write( " AB=DC, therefore:
\n" ); document.write( "-2x = 7y+1
\n" ); document.write( "-2x - 7y = 1
\n" ); document.write( "2x + 7y = -1; multiplied by -1
\n" ); document.write( "and
\n" ); document.write( "AD=BC, therefore
\n" ); document.write( "-x = 2y+2
\n" ); document.write( "-x - 2y = 2
\n" ); document.write( "x + 2y = -2
\n" ); document.write( ":
\n" ); document.write( "Use these two equation for elimination
\n" ); document.write( "2x + 7y = -1
\n" ); document.write( " x + 2y = -2
\n" ); document.write( "multiply the 2nd equation by 2
\n" ); document.write( "2x + 7y = -1
\n" ); document.write( "2x + 4y = -4
\n" ); document.write( "---------------Subtracting eliminates x, find y
\n" ); document.write( "3y = 3
\n" ); document.write( "y = 1
\n" ); document.write( ":
\n" ); document.write( "You should be able to find x, check to make sure opposite sides are equal
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