document.write( "Question 72141: The sides of an angle are parts of two lines whoes equations are y = -3/2x - 6 and y = 2/3x + 7. Find the coordinates of the vertex of the angle. \n" ); document.write( "

Algebra.Com's Answer #51562 by checkley75(3666) $\"\"$ $\"About$

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y=-3x/2-6 now substitute (-3x/2-6) for y in the other equation & solve for x
\n" ); document.write( "-3x/2-6=2x/3+7
\n" ); document.write( "-3x/2-2x/3=7+6
\n" ); document.write( "(-9x-4x)/6=13
\n" ); document.write( "-13x/6=-13
\n" ); document.write( "-13x=13*6
\n" ); document.write( "-13x=78
\n" ); document.write( "x=78/-13
\n" ); document.write( "x=-6 answer
\n" ); document.write( "now substitute -6 for x and solve for y
\n" ); document.write( "y=2*-6/3+7
\n" ); document.write( "y=-12/3+7
\n" ); document.write( "y=-4+7
\n" ); document.write( "y=3 answer
\n" ); document.write( " $\"+graph%28+200%2C+200%2C+-10%2C+10%2C+-10%2C+10%2C+y+=+-3x%2F2+-6%2C+y+=+2x%2F3+%2B7%29+\"$ (graph 200x200 pixels, x from -10 to 10, y from -10 to 10, of TWO functions y = -3x/2 -6 and y = 2x/3 +7).
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