document.write( "Question 656022: use the method of substitution to solve the system of linear equations\r
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document.write( "3x-y=5
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document.write( "7x-2y=12\r
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document.write( "the solution is _______(order pair) \n" );
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Algebra.Com's Answer #409544 by MathDazed(34)![]() ![]() You can put this solution on YOUR website! 3x - y = 5........(i) \n" ); document.write( "7x - 2y = 12......(ii)\r \n" ); document.write( "\n" ); document.write( "To use the substitution method, you will have to solve for one of the variables. I chose to use equation (i) and solve for y. \n" ); document.write( "3x - y + y = 5 + y \n" ); document.write( "3x = 5 + y \n" ); document.write( "3x - 5 = 5 - 5 + y \n" ); document.write( "3x - 5 = y.........(iii)\r \n" ); document.write( "\n" ); document.write( "Substitute equation (iii) into equation (ii)\r \n" ); document.write( "\n" ); document.write( "7x - 2(3x-5) = 12 \n" ); document.write( "7x - 6x + 10 = 12 \n" ); document.write( "x + 10 - 10 = 12 - 10 \n" ); document.write( "x = 2\r \n" ); document.write( "\n" ); document.write( "Substitute x = 2 into (iii) \n" ); document.write( "3(2) - 5 = y \n" ); document.write( "6 - 5 = y \n" ); document.write( "y = 1\r \n" ); document.write( "\n" ); document.write( "Solution (2,1) \n" ); document.write( " |