document.write( "Question 252502: Solve the following system of equations algebraically:\r
\n" ); document.write( "\n" ); document.write( "2y = 8 − x
\n" ); document.write( " y − 2x = −1
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #184487 by richwmiller(17219) $\"\"$ $\"About$

You can put this solution on YOUR website!
put the two equations in the same order
\n" ); document.write( "2y=8-x
\n" ); document.write( "y=2x-1
\n" ); document.write( "y=-1+2x (A)
\n" ); document.write( "2y=8-x (B)
\n" ); document.write( "multiply (A) by 2
\n" ); document.write( "2y=-2+4x (C)\r
\n" ); document.write( "\n" ); document.write( "2y=8-x (B)
\n" ); document.write( "2y=2+4x (c)
\n" ); document.write( "subtract C from B
\n" ); document.write( "0=6-3x
\n" ); document.write( "subtract 6 from both sides
\n" ); document.write( "6=3x
\n" ); document.write( "divide both sides by -3
\n" ); document.write( "2=x
\n" ); document.write( " substitute 2 for x in any equation
\n" ); document.write( "2y=8-x
\n" ); document.write( "2y=8-(2)
\n" ); document.write( "2y=8-2
\n" ); document.write( "2y=6
\n" ); document.write( "y=3
\n" ); document.write( "x=2
\n" ); document.write( "check\r
\n" ); document.write( "\n" ); document.write( "y=2x-1
\n" ); document.write( "3=2(2)-1
\n" ); document.write( "3=3
\n" ); document.write( "ok \n" ); document.write( "

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