document.write( "Question 400495: what is the solution set to the following systems of equations? Explain what your answer means.
\n" ); document.write( "2x+3y=6
\n" ); document.write( "y-2=-2x/3 \n" ); document.write( "

Algebra.Com's Answer #283519 by lwsshak3(11628) $\"\"$ $\"About$

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what is the solution set to the following systems of equations? Explain what your answer means.
\n" ); document.write( "2x+3y=6
\n" ); document.write( "y-2=-2x/3
\n" ); document.write( "change to y=mx+b form
\n" ); document.write( "3y=-2x+6
\n" ); document.write( "y=-(2/3)x+2
\n" ); document.write( "This is a straight line with slope=(-2/3) and y-intercept=2
\n" ); document.write( "second equation:
\n" ); document.write( "y=-(2/3)x+2
\n" ); document.write( "this is also a straight line with the same slope=(-2/3)and same y-intercept
\n" ); document.write( "Both lines, therefore, are identical.\r
\n" ); document.write( "\n" ); document.write( "The graph below shows what the line looks like\r
\n" ); document.write( "\n" ); document.write( " $\"+graph%28+300%2C+200%2C+-6%2C+10%2C+-10%2C+10%2C+-%282%2F3%29x%2B2%29+\"$ \n" ); document.write( "

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