Math / Algebra

QuestionFully simplify $9 x+5 y+5+2 y-3 x$

Studdy Solution

STEP 1

1. We are asked to simplify the algebraic expression by combining like terms.
2. The expression consists of terms involving variables $x$ and $y$ , as well as a constant term.

STEP 2

1. Identify and combine like terms involving the variable $x$ .
2. Identify and combine like terms involving the variable $y$ .
3. Simplify the constant terms.

STEP 3

Identify and combine like terms involving the variable $x$ :
The terms involving $x$ are $9x$ and $-3x$ .
$9x - 3x = 6x$

STEP 4

Identify and combine like terms involving the variable $y$ :
The terms involving $y$ are $5y$ and $2y$ .
$5y + 2y = 7y$

STEP 5

Simplify the constant terms:
The constant term is $5$ , and there are no other constant terms to combine with it.
$5$

STEP 6

Combine all simplified terms to form the fully simplified expression:
$6x + 7y + 5$
The fully simplified expression is:
$\boxed{6x + 7y + 5}$

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QuestionFully simplify $9 x+5 y+5+2 y-3 x$

Studdy Solution

STEP 1

1. We are asked to simplify the algebraic expression by combining like terms.
2. The expression consists of terms involving variables $x$ and $y$ , as well as a constant term.

STEP 2

1. Identify and combine like terms involving the variable $x$ .
2. Identify and combine like terms involving the variable $y$ .
3. Simplify the constant terms.

STEP 3

Identify and combine like terms involving the variable $x$ :
The terms involving $x$ are $9x$ and $-3x$ .
$9x - 3x = 6x$

STEP 4

Identify and combine like terms involving the variable $y$ :
The terms involving $y$ are $5y$ and $2y$ .
$5y + 2y = 7y$

STEP 5

Simplify the constant terms:
The constant term is $5$ , and there are no other constant terms to combine with it.
$5$

STEP 6

Combine all simplified terms to form the fully simplified expression:
$6x + 7y + 5$
The fully simplified expression is:
$\boxed{6x + 7y + 5}$

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QuestionFully simplify 9x+5y+5+2y−3x9 x+5 y+5+2 y-3 x9x+5y+5+2y−3x

Studdy Solution

STEP 1

1. We are asked to simplify the algebraic expression by combining like terms.2. The expression consists of terms involving variables xxx and yyy, as well as a constant term.

STEP 2

1. Identify and combine like terms involving the variable xxx.2. Identify and combine like terms involving the variable yyy.3. Simplify the constant terms.

STEP 3

Identify and combine like terms involving the variable xxx:The terms involving xxx are 9x9x9x and −3x-3x−3x.9x−3x=6x 9x - 3x = 6x 9x−3x=6x

STEP 4

Identify and combine like terms involving the variable yyy:The terms involving yyy are 5y5y5y and 2y2y2y.5y+2y=7y 5y + 2y = 7y 5y+2y=7y

STEP 5

Simplify the constant terms:The constant term is 555, and there are no other constant terms to combine with it.5 5 5

STEP 6

Combine all simplified terms to form the fully simplified expression:6x+7y+5 6x + 7y + 5 6x+7y+5The fully simplified expression is:6x+7y+5 \boxed{6x + 7y + 5} 6x+7y+5​

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QuestionFully simplify $9 x+5 y+5+2 y-3 x$

1. We are asked to simplify the algebraic expression by combining like terms.
2. The expression consists of terms involving variables $x$ and $y$ , as well as a constant term.

1. Identify and combine like terms involving the variable $x$ .
2. Identify and combine like terms involving the variable $y$ .
3. Simplify the constant terms.

Identify and combine like terms involving the variable $x$ :
The terms involving $x$ are $9x$ and $-3x$ .
$9x - 3x = 6x$

Identify and combine like terms involving the variable $y$ :
The terms involving $y$ are $5y$ and $2y$ .
$5y + 2y = 7y$

Simplify the constant terms:
The constant term is $5$ , and there are no other constant terms to combine with it.
$5$

Combine all simplified terms to form the fully simplified expression:
$6x + 7y + 5$
The fully simplified expression is:
$\boxed{6x + 7y + 5}$