document.write( "Question 708677: Solve the system using substitution.\r
\n" ); document.write( "\n" ); document.write( "4x+y=2
\n" ); document.write( "3y+2x=-1\r
\n" ); document.write( "\n" ); document.write( "Thanks for helping me out :) \n" ); document.write( "
Algebra.Com's Answer #436519 by ankor@dixie-net.com(22740)\"\" \"About 
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Solve the system using substitution.
\n" ); document.write( "4x + y = 2
\n" ); document.write( "3y + 2x =-1
\n" ); document.write( ":
\n" ); document.write( "We are going to use the 1st equation for substitution in the 2nd equation
\n" ); document.write( "put it in the slope/intercept form
\n" ); document.write( "4x + y = 2
\n" ); document.write( "Subtract 4x from each side
\n" ); document.write( "y = -4x + 2
\n" ); document.write( ":
\n" ); document.write( "In the 2nd equation, replace y with (-4x+2)
\n" ); document.write( "3(-4x+2) + 2x = -1
\n" ); document.write( "-12x + 6 + 2x = -1
\n" ); document.write( "-12x + 2x = -1 - 6
\n" ); document.write( "-10x = -7
\n" ); document.write( "x = -7/-10
\n" ); document.write( "x = +.7
\n" ); document.write( ":
\n" ); document.write( "y = -4x + 2
\n" ); document.write( "replace x with .7
\n" ); document.write( "y = -4(.7) + 2
\n" ); document.write( "y = -2.8 + 2
\n" ); document.write( "y = -.8
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\n" ); document.write( ":
\n" ); document.write( "Check solutions in the 2nd equation
\n" ); document.write( "3y + 2x = -1
\n" ); document.write( "replace x and y
\n" ); document.write( "3(-.8) + 2(.7) = -1
\n" ); document.write( "-2.4 + 1.4 = - 1
\n" ); document.write( "-1 = -1; confirms our solution of x=.7; y=-.8
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