document.write( "Question 61681: I sent this problem in and made an error on how it has to be solved The system is to be solved by addition. 5x-3y=13 4x-3y=11 Thanks \n" ); document.write( "

Algebra.Com's Answer #42451 by funmath(2933) $\"\"$ $\"About$

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E1: 5x-3y=13
\n" ); document.write( "E2: 4x-3y=11
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\n" ); document.write( "This is the elimination method (also known as the addition method).
\n" ); document.write( "Multiply the E2 by -1 and add it to E1 and the y's will be eliminated so that you can solve for x.
\n" ); document.write( ":
\n" ); document.write( "-1(4x-3y)=-1(11) --> -4x+3y=-11
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\n" ); document.write( "5x-3y=13
\n" ); document.write( "-4x+3y=-11
\n" ); document.write( "__________
\n" ); document.write( "x+0=2
\n" ); document.write( "x=2
\n" ); document.write( ":
\n" ); document.write( "Substitute 2 in for x in either equation and solve for y.
\n" ); document.write( "4(2)-3y=11
\n" ); document.write( "8-3y=11
\n" ); document.write( "8-8-3y=11-8
\n" ); document.write( "-3y=3
\n" ); document.write( "-3y/-3=3/-3
\n" ); document.write( "y=-1
\n" ); document.write( ":
\n" ); document.write( "Therefore, your solution is: (x,y)=(2,-1)
\n" ); document.write( "Happy Calculating!!!
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