document.write( "Question 1203932: Solve the following system of equations.\r
\n" ); document.write( "\n" ); document.write( "-5x-7y=14
\n" ); document.write( "-8x-9y=18\r
\n" ); document.write( "\n" ); document.write( "x=
\n" ); document.write( "y=
\n" ); document.write( "

Algebra.Com's Answer #839856 by Theo(13342)\"\" \"About 
You can put this solution on YOUR website!
equations are:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "-5x-7y=14
\n" ); document.write( "-8x-9y=18\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "multiply both sides of the first equation by 8 and both sides of the second equation by 5 to get:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "-40x - 56y = 112
\n" ); document.write( "-40x - 45y = 90\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "subtract the second equation from the first to get:
\n" ); document.write( "-11y = 22
\n" ); document.write( "solve for x to get:
\n" ); document.write( "y = -2\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "replace y with -2 in the first equation to get:
\n" ); document.write( "-40x -56y = 112 becomes -40x + 112 = 112
\n" ); document.write( "solve for x to get:
\n" ); document.write( "x = 0\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "you have x = 0 and y = -2
\n" ); document.write( "replace x and y in both original equations with those values to get:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "-5x-7y=14 becomes -5*0 - 7*-2 = 14 which becomes 14 = 14 which is true.
\n" ); document.write( "-8x-9y=18 becomes -8*0 - 9*-2 = 18 which becomes 18 = 18 which is true.
\n" ); document.write( "the values look good.
\n" ); document.write( "your solution is x = 0 and y = -2\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "if you graph both equations, they will intersect at the point (0,-2) as shown below:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );