document.write( "Question 1161021: Line m is represented by the equation 2x + 5y =13 and line n is represented by the equation 5x - 2y =-11. Verify that the point of intersection is a solution to both equations. \n" ); document.write( "
Algebra.Com's Answer #784435 by Theo(13342)\"\" \"About 
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the two equations are:
\n" ); document.write( "2x + 5y = 13
\n" ); document.write( "5x - 2y = -11
\n" ); document.write( "multiply both sides of the first equation by 5 and both sides of the second equation by 2 to get:
\n" ); document.write( "10x + 25y = 65
\n" ); document.write( "10x - 4y = -22
\n" ); document.write( "subtract the second equation from the first to get:
\n" ); document.write( "29y = 87
\n" ); document.write( "solve for y to get:
\n" ); document.write( "y = 87 / 29 = 3
\n" ); document.write( "replace y in either original equation with 3 to get:
\n" ); document.write( "2x + 15 = 13
\n" ); document.write( "solve for x to get:
\n" ); document.write( "x = -2/2 = -1
\n" ); document.write( "you have a common solution to both equations equal to x = -1 and y = 3
\n" ); document.write( "that's the coordinate point (x,y) = (-1,3) on a graph.
\n" ); document.write( "the graph looks like this:
\n" ); document.write( "\"$$$\"
\n" ); document.write( "you can see from the graph that the intersection point is (-1,3).\r
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