document.write( "Question 523618: Solve graphically: 3y = 5 - x and 2x = y + 3. Write down the co-ordinates of the point of intersection of the two lines \n" ); document.write( "

Algebra.Com's Answer #347341 by oberobic(2304) $\"\"$ $\"About$

You can put this solution on YOUR website!
3y = 5 -x
\n" ); document.write( "3y = -x +5
\n" ); document.write( "y = -(1/3)x + 5/3
\n" ); document.write( ".
\n" ); document.write( "2x = y + 3
\n" ); document.write( "2x -3 = y
\n" ); document.write( "y = 2x -3
\n" ); document.write( ".
\n" ); document.write( "In the graph that follows:
\n" ); document.write( "The red line is y = -(1/3)x + 5/3
\n" ); document.write( "The green line is y = 2x -3
\n" ); document.write( ".
\n" ); document.write( " $\"+graph%28500%2C500%2C-5%2C5%2C-5%2C5%2C-1%2F3%2Ax%2B5%2F3%2C2%2Ax-3%29+\"$
\n" ); document.write( ",
\n" ); document.write( "It appears the point (2,1) satisfies both equations.
\n" ); document.write( ".
\n" ); document.write( "Check:
\n" ); document.write( "y = -(1/3)*2 + 5/3
\n" ); document.write( "y = -2/3 + 5/3
\n" ); document.write( "y = 3/3 = 1
\n" ); document.write( ".
\n" ); document.write( "y = 2*2-3
\n" ); document.write( "y = 4 -3
\n" ); document.write( "y = 1
\n" ); document.write( ".
\n" ); document.write( "Correct. \n" ); document.write( "

\n" );