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Math  /  Algebra

QuestionWhich number sentence is correct when ? is replaced by 5 ? 15+?=1015+?=10 ? −6=1-6=1 10−?=510-?=5 11+6=11+6= ??

Studdy Solution

STEP 1

What is this asking? Which of these equations is true when we replace the question mark with the number **5**? Watch out! Don't just guess!
We need to **carefully** substitute the **5** for the question mark in each equation and see which one makes sense.

STEP 2

1. Check the first equation.
2. Check the second equation.
3. Check the third equation.
4. Check the fourth equation.

STEP 3

Let's **swap** that question mark with a **5**!
The equation becomes 15+5=1015 + 5 = 10.
Is that true?

STEP 4

Well, 15+515 + 5 is **20**.
And **20** definitely *doesn't* equal **10**.
So, this equation isn't correct.

STEP 5

**Substitute** the question mark with **5** to get 5−6=15 - 6 = 1.
Hmm, is *that* true?

STEP 6

5−65 - 6 is actually **-1**.
And **-1** *doesn't* equal **1**.
So, this equation isn't right either.

STEP 7

**Replace** the question mark with our **5** to get 10−5=510 - 5 = 5.
Could this be the one?

STEP 8

10−510 - 5 equals **5**.
And **5** *does* equal **5**!
This equation is **true**!

STEP 9

**Plugging in** our **5** gives us 11+6=511 + 6 = 5.
Does *this* one work?

STEP 10

11+611 + 6 is **17**.
And **17** is *not* equal to **5**.
So, this one's out too.

STEP 11

The correct number sentence when the question mark is replaced by **5** is 10−5=510 - 5 = 5.

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