Math / Algebra

QuestionPythagoras/Irrational Numbers: Unit 8 Show work!
Evaluate the expression: $x+8-y-x$
If $x=2$ and $y=-3$

Studdy Solution

STEP 1

What is this asking? Simplify the expression $x + 8 - y - x$ using the given values for $x$ and $y$ . Watch out! Don't forget to substitute the values correctly and combine like terms!

STEP 2

1. Substitute the values
2. Simplify the expression

STEP 3

Alright, let's substitute the given values into the expression!
We have $x = 2$ and $y = -3$ .
So, the expression becomes: \[ 2 + 8 - (-3) - 2 $

STEP 4

Now, let's simplify this step by step.
First, notice that subtracting a negative is the same as adding, so: \[ 2 + 8 + 3 - 2 $

STEP 5

Next, let's combine like terms.
We have $2 - 2$ which adds to zero, and then we have $8 + 3$ : \[ 0 + 11 $

STEP 6

Finally, we are left with: \[ 11 $

STEP 7

The final result of the expression is $11$ .

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QuestionPythagoras/Irrational Numbers: Unit 8 Show work!
Evaluate the expression: $x+8-y-x$
If $x=2$ and $y=-3$

Studdy Solution

STEP 1

What is this asking? Simplify the expression $x + 8 - y - x$ using the given values for $x$ and $y$ . Watch out! Don't forget to substitute the values correctly and combine like terms!

STEP 2

1. Substitute the values
2. Simplify the expression

STEP 3

Alright, let's substitute the given values into the expression!
We have $x = 2$ and $y = -3$ .
So, the expression becomes: \[ 2 + 8 - (-3) - 2 $

STEP 4

Now, let's simplify this step by step.
First, notice that subtracting a negative is the same as adding, so: \[ 2 + 8 + 3 - 2 $

STEP 5

Next, let's combine like terms.
We have $2 - 2$ which adds to zero, and then we have $8 + 3$ : \[ 0 + 11 $

STEP 6

Finally, we are left with: \[ 11 $

STEP 7

The final result of the expression is $11$ .

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QuestionPythagoras/Irrational Numbers: Unit 8 Show work!Evaluate the expression: x+8−y−xx+8-y-xx+8−y−xIf x=2x=2x=2 and y=−3y=-3y=−3

Studdy Solution

STEP 1

What is this asking? **Simplify** the expression x+8−y−xx + 8 - y - xx+8−y−x using the given values for xxx and yyy. Watch out! Don't forget to **substitute** the values correctly and **combine like terms**!

STEP 2

1. Substitute the values2. Simplify the expression

STEP 3

Alright, let's **substitute** the given values into the expression!We have x=2x = 2x=2 and y=−3y = -3y=−3.So, the expression becomes: \[ 2 + 8 - (-3) - 2 $

STEP 4

Now, let's **simplify** this step by step.First, notice that subtracting a negative is the same as adding, so: \[ 2 + 8 + 3 - 2 $

STEP 5

Next, let's **combine like terms**.We have 2−22 - 22−2 which adds to zero, and then we have 8+38 + 38+3: \[ 0 + 11 $

STEP 6

Finally, we are left with: \[ 11 $

STEP 7

The **final result** of the expression is 111111.

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Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionPythagoras/Irrational Numbers: Unit 8 Show work!
Evaluate the expression: $x+8-y-x$
If $x=2$ and $y=-3$

What is this asking? Simplify the expression $x + 8 - y - x$ using the given values for $x$ and $y$ . Watch out! Don't forget to substitute the values correctly and combine like terms!

1. Substitute the values
2. Simplify the expression

Alright, let's substitute the given values into the expression!
We have $x = 2$ and $y = -3$ .
So, the expression becomes: \[ 2 + 8 - (-3) - 2 $

Now, let's simplify this step by step.
First, notice that subtracting a negative is the same as adding, so: \[ 2 + 8 + 3 - 2 $

Next, let's combine like terms.
We have $2 - 2$ which adds to zero, and then we have $8 + 3$ : \[ 0 + 11 $

The final result of the expression is $11$ .