document.write( "Question 530875: Do the following equations intersect and if so what is the point of intersection(In fraction form):
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Algebra.Com's Answer #350242 by oberobic(2304) $\"\"$ $\"About$

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$\"+graph%28500%2C500%2C-10%2C30%2C-10%2C50%2C4%2F3%2Ax%2B16%2F3%2C3%2F2%2Ax%2B1%29+\"$
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\n" ); document.write( "To find the intersection, begin by getting both equations into standard form.
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\n" ); document.write( "y=4/3x+16/3
\n" ); document.write( "-4/3x +y = 16/3
\n" ); document.write( "multiply by 3
\n" ); document.write( "-4x + 3y = 16
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\n" ); document.write( "y=3/2x+1
\n" ); document.write( "-3/2x + y = 1
\n" ); document.write( "multiply by 2
\n" ); document.write( "-3x + 2y = 2
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\n" ); document.write( "Now we have a system of equations
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\n" ); document.write( "-4x + 3y = 16
\n" ); document.write( "-3x + 2y = 2
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\n" ); document.write( "Multiply the first equation by 3 and the second by 4, then subtract.
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\n" ); document.write( "-12x + 9y = 48
\n" ); document.write( "-12x + 8y = 8
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\n" ); document.write( "y = 40
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\n" ); document.write( "substitute to find 'x'
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\n" ); document.write( "-4x + 120 = 16
\n" ); document.write( "-4x = -104
\n" ); document.write( "x = 26
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\n" ); document.write( "The point of intersection is (26,40).
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