document.write( "Question 391303: hi well in class we are covering systems of linear equations in word problems and i need help\r
\n" ); document.write( "\n" ); document.write( "\"the difference of two numbers is 16.the greater number is 5 less than 4 tiimes the smaller number.find the numbers\"\r
\n" ); document.write( "\n" ); document.write( "thank you
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Algebra.Com's Answer #277599 by haileytucki(390)\"\" \"About 
You can put this solution on YOUR website!
x-y=16_x=4y-5\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 adding y to both sides.
\n" ); document.write( "x=y+16_x=4y-5\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+16.
\n" ); document.write( "x=y+16_(y+16)=4y-5\r
\n" ); document.write( "\n" ); document.write( "Remove the parentheses around the expression y+16.
\n" ); document.write( "x=y+16_y+16=4y-5\r
\n" ); document.write( "\n" ); document.write( "Since 4y contains the variable to solve for, move it to the left-hand side of the equation by subtracting 4y from both sides.
\n" ); document.write( "x=y+16_y+16-4y=-5\r
\n" ); document.write( "\n" ); document.write( "Since y and -4y are like terms, add -4y to y to get -3y.
\n" ); document.write( "x=y+16_-3y+16=-5\r
\n" ); document.write( "\n" ); document.write( "Since 16 does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 16 from both sides.
\n" ); document.write( "x=y+16_-3y=-16-5\r
\n" ); document.write( "\n" ); document.write( "Subtract 5 from -16 to get -21.
\n" ); document.write( "x=y+16_-3y=-21\r
\n" ); document.write( "\n" ); document.write( "Divide each term in the equation by -3.
\n" ); document.write( "x=y+16_-(3y)/(-3)=-(21)/(-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+16_y=-(21)/(-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+16_y=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 7.
\n" ); document.write( "x=(7)+16_y=7\r
\n" ); document.write( "\n" ); document.write( "Remove the parentheses around the expression 7.
\n" ); document.write( "x=7+16_y=7\r
\n" ); document.write( "\n" ); document.write( "Add 16 to 7 to get 23.
\n" ); document.write( "x=23_y=7\r
\n" ); document.write( "\n" ); document.write( "This is the solution to the system of equations.
\n" ); document.write( "x=23_y=7
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