document.write( "Question 304660: Solve the following by substitution: x + y = 0, 3x + 3y = 4. Are these equations independent, dependent or inconsistent?
\n" ); document.write( " What are the slopes of the above lines ?
\n" ); document.write( " Change the second equation in problem 1 to 3x + 2y = 4. Solve by substitution.\r
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Algebra.Com's Answer #218235 by Alan3354(69443)\"\" \"About 
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Solve the following by substitution: x + y = 0, 3x + 3y = 4. Are these equations independent, dependent or inconsistent?
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\n" ); document.write( "They're inconsistent. Multiply the 1st eqn by 3:
\n" ); document.write( "--> 3x + 3y = 0
\n" ); document.write( "The 2nd says 3x + 3y = 4
\n" ); document.write( "If you graph them, they're parallel. No intersection, no solution.
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\n" ); document.write( "What are the slopes of the above lines ?
\n" ); document.write( "The slopes are equal, = -1
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\n" ); document.write( "Change the second equation in problem 1 to 3x + 2y = 4. Solve by substitution.
\n" ); document.write( "x + y = 0 --> y = -x
\n" ); document.write( "3x + 2y = 4
\n" ); document.write( "Sub for y
\n" ); document.write( "3x + 2(-x) = 4
\n" ); document.write( "x = 4
\n" ); document.write( "y = -4
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