The equation has the same solution as 2/5 k = 4.
The equation has the same solution as 4/5 = 8k.
The equation can be solved by dividing both sides by 4/5.
The equation can be solved by multiplying both sides by 5/4.
The equation has the same solution as 2/5 k = 4. The equation has the same solution as 4/5 = 8k. The equation can be solved by dividing both sides by 4/5. The equation can be solved by multiplying both sides by 5/4
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To determine the solution for the equation ( frac{2}{5}k = 4 ), we first solve for ( k ):
1. Multiply both sides by ( frac{5}{2} ):
[
k = 4 cdot frac{5}{2}
]
[
k = frac{20}{2} = 10
]
Now, let’s check the other equation ( frac{4}{5} = 8k ):
1. Rearranging gives ( k = frac{4}{5 cdot 8} = frac{4}{40} = frac{1}{10} ).
Next, the statement about dividing by ( frac{4}{5} ) to solve an equation is true. To rearrange this statement for the other equation results in solving directly through division can yield different values.
However, to align the solutions, multiplying by ( frac{5}{4} ) changes the outcome for both equations.
In conclusion, the first equation provides ( k = 10 ) while its counterpart does not yield the same value ( k). Therefore, the two equations do not have the same solutions based on the calculations.
For clarity, always keep track of your operations. You can also check extended assistance on the concepts of solving equations for better understanding!