document.write( "Question 355850: CAN YOU PLEASE EXPLAIN THE STEPS\r
\n" ); document.write( "\n" ); document.write( "SOVE THE FOLLOWING SYSTEM OF EQUATION AND STATE WHETHER EACH SYSTEM IS CONSISTENT, INCONSISTENT, OR DEPENDENT
\n" ); document.write( "X=-2
\n" ); document.write( "Y=2X+5\r
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Algebra.Com's Answer #254068 by ewatrrr(24785)\"\" \"About 
You can put this solution on YOUR website!
Hi, Sry, didn't see the minus
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\n" ); document.write( "Let's first attempt to find a solution for the system
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\n" ); document.write( "x = -2 ( this is a line perpendicular to the x-axis passing thru (-2,0))
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\n" ); document.write( "y = 2x + 5
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\n" ); document.write( "substituting x = -2
\n" ); document.write( "y = -4 + 5 = 1
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\n" ); document.write( "(-2,1) a point on this line.
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\n" ); document.write( "lines meet at(-2,1)and therefore the system has one solution (-2,1)
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\n" ); document.write( "So we say that this point (-2,1) is CONSISTENT from one equation to the next.
\n" ); document.write( "System is consistent.
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\n" ); document.write( "On the other hand, if there are NO points that work in both, then we
\n" ); document.write( "say that the equations are INCONSISTENT. NO numbers that work in one
\n" ); document.write( "are consistent with the other.\r
\n" ); document.write( "\n" ); document.write( "When a system is \"dependent,\" it means that ALL points that work in
\n" ); document.write( "one of them ALSO work in the other one. \r
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