document.write( "Question 391188: 7x-6y=-8
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document.write( "x-9y=7
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document.write( "(x,y)= \n" );
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Algebra.Com's Answer #277473 by haileytucki(390)![]() ![]() You can put this solution on YOUR website! 7x-6y=-8_x-9y=7\r \n" ); document.write( "\n" ); document.write( "Since -9y does not contain the variable to solve for, move it to the right-hand side of the equation by adding 9y to both sides. \n" ); document.write( "7x-6y=-8_x=9y+7\r \n" ); document.write( "\n" ); document.write( "Replace all occurrences of x with the solution found by solving the last equation for x. In this case, the value substituted is 9y+7. \n" ); document.write( "7(9y+7)-6y=-8_x=9y+7\r \n" ); document.write( "\n" ); document.write( "Multiply 7 by each term inside the parentheses. \n" ); document.write( "63y+49-6y=-8_x=9y+7\r \n" ); document.write( "\n" ); document.write( "Since 63y and -6y are like terms, add -6y to 63y to get 57y. \n" ); document.write( "57y+49=-8_x=9y+7\r \n" ); document.write( "\n" ); document.write( "Since 49 does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 49 from both sides. \n" ); document.write( "57y=-49-8_x=9y+7\r \n" ); document.write( "\n" ); document.write( "Subtract 8 from -49 to get -57. \n" ); document.write( "57y=-57_x=9y+7\r \n" ); document.write( "\n" ); document.write( "Divide each term in the equation by 57. \n" ); document.write( "(57y)/(57)=-(57)/(57)_x=9y+7\r \n" ); document.write( "\n" ); document.write( "Simplify the left-hand side of the equation by canceling the common factors. \n" ); document.write( "y=-(57)/(57)_x=9y+7\r \n" ); document.write( "\n" ); document.write( "Simplify the right-hand side of the equation by simplifying each term. \n" ); document.write( "y=-1_x=9y+7\r \n" ); document.write( "\n" ); document.write( "Replace all occurrences of y with the solution found by solving the last equation for y. In this case, the value substituted is -1. \n" ); document.write( "y=-1_x=9(-1)+7\r \n" ); document.write( "\n" ); document.write( "Multiply 9 by each term inside the parentheses. \n" ); document.write( "y=-1_x=-9+7\r \n" ); document.write( "\n" ); document.write( "Add 7 to -9 to get -2. \n" ); document.write( "y=-1_x=-2\r \n" ); document.write( "\n" ); document.write( "This is the solution to the system of equations. \n" ); document.write( "y=-1_x=-2 \n" ); document.write( " |