document.write( "Question 325875: How do I Solve the following using substitution method? I get lost when I try. Thanks \r
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document.write( "3x+y=5
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document.write( "x-2y=4
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Algebra.Com's Answer #233282 by Apathious(24)![]() ![]() You can put this solution on YOUR website! 3x+y=5_x-2y=4\r \n" ); document.write( "\n" ); document.write( "Since 3x does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 3x from both sides. \n" ); document.write( "y=-3x+5_x-2y=4\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 -3x+5. \n" ); document.write( "y=-3x+5_x-2(-3x+5)=4\r \n" ); document.write( "\n" ); document.write( "Multiply -2 by each term inside the parentheses. \n" ); document.write( "y=-3x+5_x+(6x-10)=4\r \n" ); document.write( "\n" ); document.write( "Since x and 6x are like terms, add 6x to x to get 7x. \n" ); document.write( "y=-3x+5_7x-10=4\r \n" ); document.write( "\n" ); document.write( "Since -10 does not contain the variable to solve for, move it to the right-hand side of the equation by adding 10 to both sides. \n" ); document.write( "y=-3x+5_7x=10+4\r \n" ); document.write( "\n" ); document.write( "Add 4 to 10 to get 14. \n" ); document.write( "y=-3x+5_7x=14\r \n" ); document.write( "\n" ); document.write( "Divide each term in the equation by 7. \n" ); document.write( "y=-3x+5_(7x)/(7)=(14)/(7)\r \n" ); document.write( "\n" ); document.write( "Simplify the left-hand side of the equation by canceling the common terms. \n" ); document.write( "y=-3x+5_x=(14)/(7)\r \n" ); document.write( "\n" ); document.write( "Simplify the right-hand side of the equation by simplifying each term. \n" ); document.write( "y=-3x+5_x=2\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 2. \n" ); document.write( "y=-3(2)+5_x=2\r \n" ); document.write( "\n" ); document.write( "Multiply -3 by each term inside the parentheses. \n" ); document.write( "y=-6+5_x=2\r \n" ); document.write( "\n" ); document.write( "Add 5 to -6 to get -1. \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( " |