document.write( "Question 594462: Solve the following system of equations for the unknown variables.
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document.write( "x + 2y = 14\r
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document.write( "x – 3y = 9 \n" );
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Algebra.Com's Answer #376738 by mamiya(56)![]() ![]() ![]() You can put this solution on YOUR website! x + 2y = 14 \n" ); document.write( "x – 3y = 9\r \n" ); document.write( "\n" ); document.write( "there are many ways to approach this, i am going to use the substitution method. \n" ); document.write( "for that method, you have to take one equation , write letter in term of the other letter and plug that in the other equation.\r \n" ); document.write( "\n" ); document.write( " let take the first one, x+2y =14 --> x = 14 - 2y \n" ); document.write( "by plugging that in the second equation, we get \n" ); document.write( " x- 3y = 9 --> 14-2y -3y =9 \n" ); document.write( " --> 14-5y = 9 \n" ); document.write( " --> -14 +14 -5y = -14 +9 \n" ); document.write( " --> -5y= -5 \n" ); document.write( " --> -5y/(-5) = -5/(-5) \n" ); document.write( " --> y=1\r \n" ); document.write( "\n" ); document.write( " and we know that x = 14 -2y = 14 - 2(1)= 14-2 = 12\r \n" ); document.write( "\n" ); document.write( " so the answer to the system is ( 12, 1) \n" ); document.write( " \n" ); document.write( " |