document.write( "Question 69431: i have to solve the problems using system of equations..
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document.write( "1.x+y=6 2. 2x-3y=-13
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document.write( " y=2x y=2x+7 \n" );
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Algebra.Com's Answer #49527 by mathick(4)![]() ![]() You can put this solution on YOUR website! Let's start with #1:\r \n" ); document.write( "\n" ); document.write( "x + y = 6 \n" ); document.write( " y = 2x. \n" ); document.write( " \n" ); document.write( "There are a few ways to solve these, but the substitution method is often easiest. \n" ); document.write( " \n" ); document.write( "1. Substitute 2x in for y in the 1st equation: x + (2x) = 6. \n" ); document.write( "(This can be done because the 2nd equation says y and 2x are interchangeable). \n" ); document.write( " \n" ); document.write( "2. Simplify: 3x = 6. \n" ); document.write( " \n" ); document.write( "3. Solve for x: x = 2. \n" ); document.write( " \n" ); document.write( "4. Plug 2 in for x in the 1st equation: 2 + y = 6. \n" ); document.write( " \n" ); document.write( "5. Solve for y: y = 4. \n" ); document.write( " \n" ); document.write( "6. Final Answer: (2, 4). (x = 2, y = 4). \n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "That's the substitution method - the next example has a few more steps: \n" ); document.write( " \n" ); document.write( "2x-3y=-13 \n" ); document.write( " y=2x+7 \n" ); document.write( " \n" ); document.write( "1. Substitute 2x + 7 in for y in the 1st equation: 2x - 3(2x + 7) = -13. \n" ); document.write( "(This can be done because the 2nd equation says y and 2x + 7 are interchangeable). \n" ); document.write( " \n" ); document.write( "2. Simplify: -4x - 21 = -13. \n" ); document.write( " \n" ); document.write( "3. Solve for x: x = -2. \n" ); document.write( " \n" ); document.write( "4. Plug -2 in for x in the 1st equation: 2(-2) - 3y = -13. \n" ); document.write( " \n" ); document.write( "5. Solve for y: y = 3. \n" ); document.write( " \n" ); document.write( "6. Final Answer: (-2, 3). (x = -2, y = 3). \n" ); document.write( " |