SOLUTION: The Rivers depth is three Meters greater than its width.Two times the Rivers depth is equal to six meters more than twice it's width. Write an equation based on the information pr

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Question 998852: The Rivers depth is three Meters greater than its width.Two times the Rivers depth is equal to six meters more than twice it's width. Write an equation based on the information provided
Answer by Cromlix(4381) About Me  (Show Source):
You can put this solution on YOUR website!
Hi there,
The river's depth is three meters greater than its width.
D = 3W........Equation 1
Two times the rivers depth is equal to six meters more
than twice it's width.
2D = 2W + 6.....Equation 2
Replace the D in Equation 2 with 3W from equation 1
2(3W) = 2W + 6
6W = 2W + 6
Collect like terms.
6W - 2W = 6
4W = 6
W = 6/4 or 1.5m
The depth is equal to 3(1.5) = 4.5m
Width is equal to 1.5m
Hope this helps :-)