document.write( "Question 54435: Please help. I don't understand this.
\n" ); document.write( "Solve the following system by substitution. If a unique solution does not exist, state whether the system is inconsistent or dependent. 4x – 12y = 5 and -x + 3y = -1 \n" ); document.write( "
Algebra.Com's Answer #36686 by funmath(2933)\"\" \"About 
You can put this solution on YOUR website!
L1) 4x-12y=5
\n" ); document.write( "L2) -x+3y=-1
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\n" ); document.write( "Solve L2) for x because that's the easiest one in which to isolate a variable.
\n" ); document.write( "-x+3y=-1
\n" ); document.write( "-x+3y-3y=-3y-1
\n" ); document.write( "-x=-3y-1
\n" ); document.write( "-(-x)=-(-3y-1)
\n" ); document.write( "x=3y+1
\n" ); document.write( "Substitute this value for x in L1) and solve for y.
\n" ); document.write( "4(3y+1)-12y=5
\n" ); document.write( "12y+4-12y=5
\n" ); document.write( "(12-12)y+4=5
\n" ); document.write( "0+4=5
\n" ); document.write( "4=5
\n" ); document.write( "We can't solve for y and 4 does not = 5, so this system is:\"highlight%28inconsistent%29\". It has no solution because the lines have no points in common. Graphically, they would be parallel lines that never intersect.
\n" ); document.write( "If we got something that could not be solved for y but was true like 0=0 that would be dependent.
\n" ); document.write( "Happy Calculating!!!
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