4. Solve 56 - 7x = 2 for x.
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Let b equal the speed of the boat in still water.
Let c equal the speed of the current.
Going downstream, we can write the equation:
which can be rearranged to:
3b + 3c = 120 ............(1)
Going upstream, we can write the equation:
which can be rearranged to:
4b - 4c = 120 .............(2)
Multiplying equation (1) by 4, and multiplying equation (2) by 3 we get:
12b + 12c = 480 ........(3)
12b - 12c = 360 .........(4)
Adding equations (3) and (4) results in the following equation:
24b = 840
Let c equal the speed of the current.
Going downstream, we can write the equation:
which can be rearranged to:
3b + 3c = 120 ............(1)
Going upstream, we can write the equation:
which can be rearranged to:
4b - 4c = 120 .............(2)
Multiplying equation (1) by 4, and multiplying equation (2) by 3 we get:
12b + 12c = 480 ........(3)
12b - 12c = 360 .........(4)
Adding equations (3) and (4) results in the following equation:
24b = 840