document.write( "Question 268758: 7x + 4y = -4
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document.write( "5x + 8x = 28
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document.write( "how do you solve the system of equations by elimination \n" );
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Algebra.Com's Answer #196935 by persian52(161)![]() ![]() You can put this solution on YOUR website! 7x+4y=-4_5x+8x=28\r \n" ); document.write( "\n" ); document.write( "►Since 5x and 8x are like terms, add 8x to 5x to get 13x. \n" ); document.write( "7x+4y=-4_13x=28\r \n" ); document.write( "\n" ); document.write( "►Divide each term in the equation by 13. \n" ); document.write( "7x+4y=-4_(13x)/(13)=(28)/(13)\r \n" ); document.write( "\n" ); document.write( "►Simplify the left-hand side of the equation by canceling the common terms. \n" ); document.write( "7x+4y=-4_x=(28)/(13)\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 (28)/(13). \n" ); document.write( "7((28)/(13))+4y=-4_x=(28)/(13)\r \n" ); document.write( "\n" ); document.write( "►Multiply 7 by each term inside the parentheses. \n" ); document.write( "(196)/(13)+4y=-4_x=(28)/(13)\r \n" ); document.write( "\n" ); document.write( "►Since (196)/(13) does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting (196)/(13) from both sides. \n" ); document.write( "4y=-(196)/(13)-4_x=(28)/(13)\r \n" ); document.write( "\n" ); document.write( "►Simplify the right-hand side of the equation. \n" ); document.write( "4y=-(248)/(13)_x=(28)/(13)\r \n" ); document.write( "\n" ); document.write( "►Divide each term in the equation by 4. \n" ); document.write( "(4y)/(4)=-(248)/(13)*(1)/(4)_x=(28)/(13)\r \n" ); document.write( "\n" ); document.write( "►Simplify the left-hand side of the equation by canceling the common terms. \n" ); document.write( "y=-(248)/(13)*(1)/(4)_x=(28)/(13)\r \n" ); document.write( "\n" ); document.write( "►Simplify the right-hand side of the equation by simplifying each term. \n" ); document.write( "y=-(62)/(13)_x=(28)/(13)\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 -(62)/(13). \n" ); document.write( "=► y=-(62)/(13) \n" ); document.write( "=► x=(28)/(13) \n" ); document.write( " |