document.write( "Question 389519: x+y=2
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document.write( "y=2x-1
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Algebra.Com's Answer #276023 by haileytucki(390)![]() ![]() You can put this solution on YOUR website! x+y=2_y=2x-1\r \n" ); document.write( "\n" ); document.write( "Since y does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting y from both sides. \n" ); document.write( "x=-y+2_y=2x-1\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 -y+2. \n" ); document.write( "x=-y+2_y=2(-y+2)-1\r \n" ); document.write( "\n" ); document.write( "Multiply 2 by each term inside the parentheses. \n" ); document.write( "x=-y+2_y=-2y+4-1\r \n" ); document.write( "\n" ); document.write( "Subtract 1 from 4 to get 3. \n" ); document.write( "x=-y+2_y=-2y+3\r \n" ); document.write( "\n" ); document.write( "Since -2y contains the variable to solve for, move it to the left-hand side of the equation by adding 2y to both sides. \n" ); document.write( "x=-y+2_y+2y=3\r \n" ); document.write( "\n" ); document.write( "Since y and 2y are like terms, add 2y to y to get 3y. \n" ); document.write( "x=-y+2_3y=3\r \n" ); document.write( "\n" ); document.write( "Divide each term in the equation by 3. \n" ); document.write( "x=-y+2_(3y)/(3)=(3)/(3)\r \n" ); document.write( "\n" ); document.write( "Simplify the left-hand side of the equation by canceling the common factors. \n" ); document.write( "x=-y+2_y=(3)/(3)\r \n" ); document.write( "\n" ); document.write( "Simplify the right-hand side of the equation by simplifying each term. \n" ); document.write( "x=-y+2_y=1\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( "x=-(1)+2_y=1\r \n" ); document.write( "\n" ); document.write( "Multiply -1 by the 1 inside the parentheses. \n" ); document.write( "x=-1+2_y=1\r \n" ); document.write( "\n" ); document.write( "Add 2 to -1 to get 1. \n" ); document.write( "x=1_y=1\r \n" ); document.write( "\n" ); document.write( "This is the solution to the system of equations. \n" ); document.write( "x=1_y=1 \n" ); document.write( " |