document.write( "Question 205483: the equation of a straight line is 3x+ 2y =5. Given that the point (k,4) lies on the line, find the value of k. \n" ); document.write( "

Algebra.Com's Answer #155098 by checkley77(12844) $\"\"$ $\"About$

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3x+ 2y =5
\n" ); document.write( "2y=-3x+5
\n" ); document.write( "y=-3x/2+5/2
\n" ); document.write( "y=-3x/2+2.5
\n" ); document.write( " $\"+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+-3x%2F2+%2B2.5%29+\"$ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, -3x/2 +2.5).
\n" ); document.write( "(k,4)
\n" ); document.write( "3k+2*4=5
\n" ); document.write( "3k+8=5
\n" ); document.write( "3k=5-8
\n" ); document.write( "3k=-3
\n" ); document.write( "k=-3/3
\n" ); document.write( "k=-1 ans. (-1,4)
\n" ); document.write( "Proof:
\n" ); document.write( "3*-1+2*4=5
\n" ); document.write( "-3+8=5
\n" ); document.write( "5=5 \n" ); document.write( "

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