document.write( "Question 22016: hi my name is brittny and i am having trouble with this one problem\r
\n" ); document.write( "\n" ); document.write( "directions: solve the following system of equations for x and y\r
\n" ); document.write( "\n" ); document.write( "2x-3y=-35
\n" ); document.write( "3x-2y=-5\r
\n" ); document.write( "\n" ); document.write( "thank you i hope you can help \n" ); document.write( "
Algebra.Com's Answer #10618 by wuwei96815(245)\"\" \"About 
You can put this solution on YOUR website!
The easiest way (although not the only way) to solve this system is by elimination and substitution.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Multiply the first equation by -1.5. You will get -3x + 4.5y = 52.5. Now, add this new equation to the second equation so that we can eliminate x and then solve for y.
\n" ); document.write( "(-3x+4.5y=52.5) + (3x-2y=-5) yields 2.5y=47.5. Solving for y we get y=19.
\n" ); document.write( "Now, substitute 19 for y in either of the original equations and solve for x.
\n" ); document.write( "2x-3y=-35 becomes 2x-3(19)=-35. Solving for x we get x=11.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "If you want to check the correctness of the answers you can do so by substituting them into any of the original equations. I hope that you were able to follow this solution.
\n" ); document.write( " \n" ); document.write( "
\n" );