document.write( "Question 343340: The sum of Linda's and Steve's ages is 113.Steve is 11 years older than Linda.
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document.write( "How old is Linda and how old is Steve? \n" );
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Algebra.Com's Answer #245657 by haileytucki(390)![]() ![]() You can put this solution on YOUR website! x+y=113_y=x+11\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+113_y=x+11\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+113. \n" ); document.write( "x=-y+113_y=(-y+113)+11\r \n" ); document.write( "\n" ); document.write( "Remove the parentheses around the expression -y+113. \n" ); document.write( "x=-y+113_y=-y+113+11\r \n" ); document.write( "\n" ); document.write( "Add 11 to 113 to get 124. \n" ); document.write( "x=-y+113_y=-y+124\r \n" ); document.write( "\n" ); document.write( "Since -y contains the variable to solve for, move it to the left-hand side of the equation by adding y to both sides. \n" ); document.write( "x=-y+113_y+y=124\r \n" ); document.write( "\n" ); document.write( "Since y and y are like terms, add y to y to get 2y. \n" ); document.write( "x=-y+113_2y=124\r \n" ); document.write( "\n" ); document.write( "Divide each term in the equation by 2. \n" ); document.write( "x=-y+113_(2y)/(2)=(124)/(2)\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+113_y=(124)/(2)\r \n" ); document.write( "\n" ); document.write( "Simplify the right-hand side of the equation by simplifying each term. \n" ); document.write( "x=-y+113_y=62\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. \n" ); document.write( "x=-(62)+113_y=62\r \n" ); document.write( "\n" ); document.write( "Multiply -1 by the 62 inside the parentheses. \n" ); document.write( "x=-62+113_y=62\r \n" ); document.write( "\n" ); document.write( "Add 113 to -62 to get 51. \n" ); document.write( "x=51_y=62\r \n" ); document.write( "\n" ); document.write( "This is the solution to the system of equations. \n" ); document.write( "x=51 (Linda)_y=62 (steve) \n" ); document.write( " |