document.write( "Question 123852: Problem- y = x+1
\n" ); document.write( " y = 2x-1\r
\n" ); document.write( "\n" ); document.write( " The question from my text book is: Solve each system of equations on the same set of axes.Tell whether the system is consistent or inconsistent and whether the equation are dependent or independent.\r
\n" ); document.write( "\n" ); document.write( " I'm trying to solve this by using the y=mx+b formula.Is this the correct formula to use? \n" ); document.write( "

Algebra.Com's Answer #90876 by solver91311(24713) $\"\"$ $\"About$

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You already have the equations in slope-intercept form $\"y=mx%2Bb\"$ , so you can tell the slope of each of the lines directly by examining the coefficient on the x terms. Since inconsistent systems are systems that are either parallel or the same line, inconsistent systems are systems that have the same slope. Here, the slopes are different. One is 1 and the other is 2. So you know the lines are not parallel, must intersect in a single point, and are therefore consistent.\r
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\n" ); document.write( "\n" ); document.write( " $\"graph%28400%2C400%2C-5%2C5%2C-5%2C5%2Cx%2B1%2C2x-1%29\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"y=x%2B1\"$ multiplied by -2 is $\"-2y=-2x-2\"$ . Add this to $\"y=2x-1\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"-y=-3\"$ , $\"y=3\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"3=x%2B1\"$ , so $\"x=2\"$ . The two lines intersect at (2,3), which looks about right from the graph. \n" ); document.write( "

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