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Use the Substitution method to solve the system of equations. Give your answer as an ordered pair (x,y). \r
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\n" ); document.write( "\n" ); document.write( "E1: x + y = -5 \r
\n" ); document.write( "\n" ); document.write( "E2: x - y = 3
\n" ); document.write( "Solve E2 for x.
\n" ); document.write( "x-y+y=3+y
\n" ); document.write( "x=3+y
\n" ); document.write( "Substitute 3+y into E1 for x and solve for y
\n" ); document.write( "(3+y)+y=-5
\n" ); document.write( "3+2y=-5
\n" ); document.write( "3-3+2y=-5-3
\n" ); document.write( "2y=-8
\n" ); document.write( "2y/2=-8/2
\n" ); document.write( "y=-4
\n" ); document.write( "Substitute -4 in for y in E2 and solve for x
\n" ); document.write( "x-(-4)=3
\n" ); document.write( "x+4=3
\n" ); document.write( "x+4-4=3-4
\n" ); document.write( "x=-1
\n" ); document.write( "The solution (x,y)=(-1,-4)
\n" ); document.write( "You can check your answer by substituting the solution into both E1 and E2 and see if both sides equal.
\n" ); document.write( "-1-4=-5 --> -5=-5 E1 checks
\n" ); document.write( "-1-(-4)=3 --> 3=3 E2 check too.
\n" ); document.write( "Happy Calculating!!!
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