document.write( "Question 190977: Hi, was wondering if anyone could help me with the following system of equations problem. Steps on how to solve fully would be ideal also.\r
\n" ); document.write( "\n" ); document.write( "A-B+C=1
\n" ); document.write( "2A-2B=0
\n" ); document.write( "3A+B-3C=2\r
\n" ); document.write( "\n" ); document.write( "Any help would be most appreciated,
\n" ); document.write( "-Thanks, -Nick.
\n" ); document.write( "

Algebra.Com's Answer #143384 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
A - B + C = 1
\n" ); document.write( "2A -2B = 0
\n" ); document.write( "3A + B -3C = 2
\n" ); document.write( ":
\n" ); document.write( "multiply the 1st equation by 2, subtract the 2nd equation
\n" ); document.write( "2A - 2B + 2C = 2
\n" ); document.write( "2A - 2B + 0C = 0
\n" ); document.write( "------------------ subtraction eliminates A & B, find C
\n" ); document.write( "2C = 2
\n" ); document.write( "C = 1
\n" ); document.write( ":
\n" ); document.write( "Substitute 1 for C in the 1st and 3rd equations
\n" ); document.write( "A - B + 1 = 1
\n" ); document.write( "3A +B -3(1) = 2
\n" ); document.write( ":
\n" ); document.write( "A - B = 1 - 1
\n" ); document.write( "3A +B = 2 + 3
\n" ); document.write( ":
\n" ); document.write( "A - B = 0
\n" ); document.write( "3A +B = 5
\n" ); document.write( "------------Adding eliminates B
\n" ); document.write( "4A = 5
\n" ); document.write( "A = \"5%2F4\"
\n" ); document.write( ":
\n" ); document.write( "Find B using 2A - 2B = 0; therefore: B = A
\n" ); document.write( "B = \"5%2F4\"
\n" ); document.write( ":
\n" ); document.write( "Solution: A = \"5%2F4\", B = \"5%2F4\", C = 1
\n" ); document.write( ";
\n" ); document.write( ":
\n" ); document.write( "Check solution in the 3rd equation:
\n" ); document.write( "3A + B -3C = 2
\n" ); document.write( "3(\"5%2F4\") + \"5%2F4\" - 3(1) = 2
\n" ); document.write( "\"15%2F4\" + \"5%2F4\" - 3 = 2
\n" ); document.write( "\"20%2F4\" - 3 = 2
\n" ); document.write( "5 - 3 = 2
\n" ); document.write( "
\n" );