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)\"\" \"About 
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Let A = th eage of the dad
\n" ); document.write( "Let B = the age of the son
\n" ); document.write( "Equation 1: \"A+=+4B\"
\n" ); document.write( "Equation 2: \"A+-+6+=+10%2A%28B-6%29\"
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\n" ); document.write( "Since equation 1 is solved for A, plug 4B into equation 2 for A
\n" ); document.write( "Equation 2: \"A+-+6+=+10%2A%28B-6%29\"
\n" ); document.write( "\"%284B%29+-+6+=+10%2A%28B-6%29\"
\n" ); document.write( "Multiply the 10 through
\n" ); document.write( "\"4B+-+6+=+10B+-+60\"
\n" ); document.write( "Subtract 4B from both sides
\n" ); document.write( "\"-6+=+6B+-+60\"
\n" ); document.write( "Add 60 to both sides
\n" ); document.write( "\"54+=+6B\"
\n" ); document.write( "Divide both sides by 6
\n" ); document.write( "\"highlight%289+=+B%29\"
\n" ); document.write( "Now plug 9 into equation 1 for B
\n" ); document.write( "Equation 1: \"A+=+4B\"
\n" ); document.write( "\"A+=+4%2A%289%29\"
\n" ); document.write( "\"highlight_green%28A+=+36%29\"\r
\n" ); document.write( "\n" ); document.write( "______________________________________________________________________
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\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( "\"m+=+%28Y2-Y1%29%2F%28X2-X1%29\"
\n" ); document.write( "Now we will plug in the values you were given to solve for m.
\n" ); document.write( "\"m+=+%2813-5%29%2F%284-2%29\"
\n" ); document.write( "\"m+=+8%2F2\"
\n" ); document.write( "\"highlight_green%28m+=+4%29\"
\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( "\"y+=+4x+%2B+c\"
\n" ); document.write( "\"5+=+4%2A2+%2B+c\"
\n" ); document.write( "\"5+=+8+%2B+c\"
\n" ); document.write( "Subtract 8 from both sides
\n" ); document.write( "\"highlight%28-3+=+c%29\"
\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( "______________________________________________________________________
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\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: \"2A+%2B+3B+=+21\"
\n" ); document.write( "Equation 2: \"A+=+B+%2B+3\"
\n" ); document.write( "Since equation 2 is solved for A, plug (B + 3) into equation 1 for A.
\n" ); document.write( "Equation 1: \"2A+%2B+3B+=+21\"
\n" ); document.write( "\"2%2A%28B+%2B+3%29+%2B+3B+=+21\"
\n" ); document.write( "Multiply the 2 through
\n" ); document.write( "\"2B+%2B+6+%2B+3B+=+21\"
\n" ); document.write( "Combine like terms
\n" ); document.write( "\"5B+%2B+6+=+21\"
\n" ); document.write( "Subtract 6 from both sides
\n" ); document.write( "\"5B+=+15\"
\n" ); document.write( "Divide both sides by 5
\n" ); document.write( "\"highlight%28B+=+3%29\"
\n" ); document.write( "Now plug 3 into equation 2 for B.
\n" ); document.write( "Equation 2: \"A+=+B+%2B+3\"
\n" ); document.write( "\"A+=+%283%29+%2B+3\"
\n" ); document.write( "\"highlight_green%28A+=+6%29\"
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