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Look at this equation k + 31 = 72 Which related equation below will correctly solve for the variable k? Question 1 options: k = 72 + 31 k = 72 - 31 k = 72 · 31 k = 72 ÷ 31

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Answer:

To solve for the variable "k" in the equation "k + 31 = 72," you need to isolate "k" on one side of the equation. Here's how you can do it using friendly words and reasons:

1. Start with the original equation: "k + 31 = 72."

2. To isolate "k," you want to get rid of the "31" on the left side of the equation. You can do this by subtracting 31 from both sides to keep the equation balanced.

3. Subtract 31 from both sides:

"k + 31 - 31 = 72 - 31."

4. Simplify both sides:

"k = 41."

Step-by-step explanation:

So, the correct equation to solve for the variable "k" is: "k = 72 - 31," and this will give you the value of k, which is 41.

User Jjennifer
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Final answer:

To solve the equation k + 31 = 72 for k, you subtract 31 from both sides, which gives the correct related equation of k = 72 - 31 = 41.

Step-by-step explanation:

When solving the equation k + 31 = 72 for the variable k, we are looking to isolate k on one side of the equation. To do this, we need to reverse the operation that has been applied to k. Since 31 is being added to k, we need to subtract 31 from both sides of the equation to undo this addition.

The correct related equation to solve for k is k = 72 - 31. When you subtract 31 from 72, you find that k equals 41, which is the solution to the equation. So, k + 31 = 72 becomes 41 + 31 = 72, which is a true statement.

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