For a walk-a-thon a sponsor committed to give you a flat fee of $5 plus $2 for every mile you walk. If you walk for 20 miles, what is the total amount you will collect from your sponsor at the end of the walk-a-thon?
$5 was given for participants of the walk-a-thon.
$2 was given for every miles won
Then, for "y" number of miles, the the amount that can be won is ( 2×y)= 2y
The Total amount that can be given
= (5 + 2y)
Where "y" is the miles value
Then, if you walk for 20 miles, The Total amount that can be given
If you simplify the equations and the left side is identical to the right side, then there are an infinite number of solutions: the equation is true for all values of x.
Another way to simplify the equation is to subtract the right side from both sides. If that simplifies to 0 = 0, then there are an infinite number of solutions.
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<h3>I. </h3>
2x -6 -6x = 2 -4x . . . . eliminate parentheses
-4x -6 = -4x +2 . . . . no solutions (no value of x makes this true)