document.write( "Question 689019: PLEASE HELP .. I'm trying to help my son w/his hw..
\n" ); document.write( "I need answers/solutions to refresh my memory !!
\n" ); document.write( "1. x+y=4, 2x+y=5
\n" ); document.write( "2. x-y=5, 2x+3y=0
\n" ); document.write( "3. x-y=-2, x+y=4
\n" ); document.write( "4. y=x+3 (5,0)
\n" ); document.write( "5. y=2x+3 (-4,1)
\n" ); document.write( "

Algebra.Com's Answer #425822 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
1.
\n" ); document.write( " x + y = 4
\n" ); document.write( "2x + y = 5
\n" ); document.write( "------------subtraction eliminates y, find x
\n" ); document.write( "-x = -1
\n" ); document.write( "x = 1
\n" ); document.write( "find y
\n" ); document.write( "1 + y = 4
\n" ); document.write( "y = 4 - 1
\n" ); document.write( "y = 3
\n" ); document.write( "Check solution of x=1; y=3, in the 2nd equation
\n" ); document.write( "2(1) + 3 = 5
\n" ); document.write( ":
\n" ); document.write( "2.
\n" ); document.write( " x - y = 5
\n" ); document.write( "2x + 3y = 0
\n" ); document.write( "Use substitution with the first equation here
\n" ); document.write( "x - y = 5
\n" ); document.write( "x = y+5
\n" ); document.write( "replace x with y+5 in the 2nd equation
\n" ); document.write( "2(y+5) + 3y = 0
\n" ); document.write( "2y + 10 + 3y = 0
\n" ); document.write( "2y + 3y = -10
\n" ); document.write( "5y = -10
\n" ); document.write( "y = -10/5
\n" ); document.write( "y = -2
\n" ); document.write( "find x using x = y + 5
\n" ); document.write( "x = -2 + 5
\n" ); document.write( "x = 3
\n" ); document.write( "check solution of x=3; y=-2 in the 2nd equation
\n" ); document.write( "2(3) + 3(-2) = 0
\n" ); document.write( "6 - 6 = 0
\n" ); document.write( ":
\n" ); document.write( "3.
\n" ); document.write( " x - y = -2
\n" ); document.write( " x + y = 4
\n" ); document.write( "----------------addition eliminates y, find x
\n" ); document.write( "2x = 2
\n" ); document.write( "x = 1
\n" ); document.write( "I'll let you find y, check your solutions in both equations
\n" ); document.write( ":
\n" ); document.write( "I'm not sure what (5,0) or (-4,1) mean here, they can't be an x/y pair
\n" ); document.write( "4. y = x + 3 (5,0)
\n" ); document.write( "5. y = 2x + 3 (-4,1)
\n" ); document.write( "
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