Your friend thinks that the equation k - 3.5 = 21 is a true statement. Is your friend correct? Explain
k-3.5=21
21+3.5=24.5
k=24.5
24.5-3.5=21
It is a TRUE statement if and only if k = 24.5
It is FALSE for any other value of k
That's how equations work.
um ok
I'm confused
k=24.5 - yes
To determine if your friend is correct, we can follow a few steps to solve the equation.
Step 1: Start with the equation given: k - 3.5 = 21.
Step 2: Add 3.5 to both sides of the equation to isolate the variable k. This gives us: k = 21 + 3.5.
Step 3: Simplify the right side of the equation: k = 24.5.
Step 4: Now, substitute k back into the original equation to check if it holds true. Replacing k with 24.5, we have: 24.5 - 3.5 = 21.
Step 5: Simplify the equation to see if both sides are equal. 24.5 - 3.5 = 21 simplifies to 21 = 21.
Since both sides of the equation are equal, we can conclude that your friend is correct. The equation k - 3.5 = 21 is a true statement.