![\"\"](\"/images/stars/stars-07.gif\")
You can put this solution on YOUR website!
Solve by elimination:
\n" ); document.write( "3x + 5y = 4
\n" ); document.write( "5x + 2y = 9
\n" ); document.write( "To solve by elimination, you must multiply the equations in such a way that when you add them together, one of the terms will fall out:
\n" ); document.write( "I will multiply the top equation by 5 and the bottom equation by (-3). This will make my first terms 15x and -15x, which will add to zero?
\n" ); document.write( "So, 5(3x + 5y = 4) gives me 15x + 25y = 20
\n" ); document.write( "And
\n" ); document.write( " (-3)(5x + 2y = 9) gives me -15x – 6y = -27
\n" ); document.write( "Now, add them down to get 19y = -7 and solve for y:
\n" ); document.write( "Thus y = -7/19.
\n" ); document.write( "NOW, take that value for y and put it into either of the initial equations to get your x value:
\n" ); document.write( "I will put it into the first equation:
\n" ); document.write( "3x + 5y = 4
\n" ); document.write( "3x + 5(-7/19) = 4
\n" ); document.write( "3x – 35/19 = 4
\n" ); document.write( "3x = 4 + 35/19
\n" ); document.write( "3x = 76/19 + 35/19 (finding a common denominator)
\n" ); document.write( "3x = 111/19
\n" ); document.write( "x = 111/19∙3
\n" ); document.write( "x = 111/57.
\n" ); document.write( "So, your answers are:
\n" ); document.write( "x = 111/57, y = -7/19.
\n" ); document.write( "You can check the answers by substituting into the other equation.\r
\n" ); document.write( "\n" ); document.write( "Good luck,
\n" ); document.write( "JoeC
\n" ); document.write( " \n" ); document.write( "