document.write( "Question 708800: at the present time a man is four times as old as his son six years ago he was 10 times as old. \n" ); document.write( "
Algebra.Com's Answer #436255 by Stitch(470)![]() ![]() ![]() You can put this solution on YOUR website! Let A = th eage of the dad \n" ); document.write( "Let B = the age of the son \n" ); document.write( "Equation 1: \n" ); document.write( "Equation 2: \n" ); document.write( "----------------------------- \n" ); document.write( "Since equation 1 is solved for A, plug 4B into equation 2 for A \n" ); document.write( "Equation 2: \n" ); document.write( " \n" ); document.write( "Multiply the 10 through \n" ); document.write( " \n" ); document.write( "Subtract 4B from both sides \n" ); document.write( " \n" ); document.write( "Add 60 to both sides \n" ); document.write( " \n" ); document.write( "Divide both sides by 6 \n" ); document.write( " \n" ); document.write( "Now plug 9 into equation 1 for B \n" ); document.write( "Equation 1: \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "______________________________________________________________________ \n" ); document.write( "______________________________________________________________________ \n" ); document.write( "Extra question #1: \n" ); document.write( "The line y=mx+c passes through (2'5) and (4'13). Find the m and the c. \n" ); document.write( "In that equation m is the slope and c is the Y-intercept. \n" ); document.write( "Points on a graph are given in the form (X,Y). \n" ); document.write( "The equation to find the slope of the line between to points is: \n" ); document.write( " \n" ); document.write( "Now we will plug in the values you were given to solve for m. \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "Since we know what m equals, we can rewrite the equation of the line. \n" ); document.write( "y = mx+c is now y = 4x+c \n" ); document.write( "The next step is to pick one of the points that you were gven and solve for c. \n" ); document.write( "I will you the point (2,5) \n" ); document.write( "That means that when x=2, then y=5 \n" ); document.write( "Plug those values into the line equation \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "Subtract 8 from both sides \n" ); document.write( " \n" ); document.write( "The equation of the line that passes through the given points is y = 4x - 3\r \n" ); document.write( "\n" ); document.write( "______________________________________________________________________ \n" ); document.write( "______________________________________________________________________ \n" ); document.write( "Extra question #2: \n" ); document.write( "Twice one Number added to 3 times a nother gives 21. Find the numbers if the difference between them is 3. \n" ); document.write( "------------------- \n" ); document.write( "Equation 1: \n" ); document.write( "Equation 2: \n" ); document.write( "Since equation 2 is solved for A, plug (B + 3) into equation 1 for A. \n" ); document.write( "Equation 1: \n" ); document.write( " \n" ); document.write( "Multiply the 2 through \n" ); document.write( " \n" ); document.write( "Combine like terms \n" ); document.write( " \n" ); document.write( "Subtract 6 from both sides \n" ); document.write( " \n" ); document.write( "Divide both sides by 5 \n" ); document.write( " \n" ); document.write( "Now plug 3 into equation 2 for B. \n" ); document.write( "Equation 2: \n" ); document.write( " \n" ); document.write( " |