If k = 3, work out the value of m when m = 4 - 2k.
Understand the Problem
The question asks us to calculate the value of 'm' when 'k' is given as 3, using the equation m = 4 - 2k.
Answer
The value of \( m \) is \( -2 \).
Answer for screen readers
The value of ( m ) is ( -2 ).
Steps to Solve
- Substituting the value of 'k'
We start by substituting the given value of $k = 3$ into the equation $m = 4 - 2k$.
- Performing the multiplication
Now we multiply $2$ by $k$:
$$ 2k = 2 \times 3 = 6 $$
- Calculating 'm'
Next, we substitute this result back into the equation:
$$ m = 4 - 6 $$
- Simplifying the equation
Now we simplify the equation:
$$ m = -2 $$
The value of ( m ) is ( -2 ).
More Information
The equation ( m = 4 - 2k ) represents a linear relationship where the value of ( m ) decreases as ( k ) increases. In this case, when ( k ) is set to 3, ( m ) reduces to -2, showing how linear equations can produce negative values.
Tips
- Forgetting to multiply before substituting.
- Confusing the order of operations when calculating ( m ).
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