QuestionCombine the terms in the expression: $-3x + y - y + 7x$ . What is the simplified result?

Studdy Solution

STEP 1

Assumptions1. The given expression is $-3x + y - y +7x$

STEP 2

We can simplify the expression by combining like terms. Like terms are terms that contain the same variables raised to the same power. In this case, the like terms are $-x$ and $7x$ .
$-x +7x$

STEP 3

Add the coefficients of the like terms.
$-3x +7x =x$

STEP 4

Now, let's simplify the remaining part of the expression, which is $y - y$ .

STEP 5

Subtract the coefficients of the like terms.
$y - y =0$

STEP 6

Now, let's combine the results from steps3 and5 to get the final simplified expression.
$4x +0$

STEP 7

The term $0$ does not affect the value of the expression, so we can omit it.
The final simplified expression is $4x$ .

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QuestionCombine the terms in the expression: $-3x + y - y + 7x$ . What is the simplified result?

Studdy Solution

STEP 1

Assumptions1. The given expression is $-3x + y - y +7x$

STEP 2

We can simplify the expression by combining like terms. Like terms are terms that contain the same variables raised to the same power. In this case, the like terms are $-x$ and $7x$ .
$-x +7x$

STEP 3

Add the coefficients of the like terms.
$-3x +7x =x$

STEP 4

Now, let's simplify the remaining part of the expression, which is $y - y$ .

STEP 5

Subtract the coefficients of the like terms.
$y - y =0$

STEP 6

Now, let's combine the results from steps3 and5 to get the final simplified expression.
$4x +0$

STEP 7

The term $0$ does not affect the value of the expression, so we can omit it.
The final simplified expression is $4x$ .

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QuestionCombine the terms in the expression: −3x+y−y+7x-3x + y - y + 7x−3x+y−y+7x. What is the simplified result?

Studdy Solution

STEP 1

Assumptions1. The given expression is −3x+y−y+7x-3x + y - y +7x−3x+y−y+7x

STEP 2

We can simplify the expression by combining like terms. Like terms are terms that contain the same variables raised to the same power. In this case, the like terms are −x-x−x and 7x7x7x.−x+7x-x +7x−x+7x

STEP 3

Add the coefficients of the like terms.−3x+7x=x-3x +7x =x−3x+7x=x

STEP 4

Now, let's simplify the remaining part of the expression, which is y−yy - yy−y.

STEP 5

Subtract the coefficients of the like terms.y−y=0y - y =0y−y=0

STEP 6

Now, let's combine the results from steps3 and5 to get the final simplified expression.4x+04x +04x+0

STEP 7

The term 000 does not affect the value of the expression, so we can omit it.The final simplified expression is 4x4x4x.

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QuestionCombine the terms in the expression: $-3x + y - y + 7x$ . What is the simplified result?

Assumptions1. The given expression is $-3x + y - y +7x$

We can simplify the expression by combining like terms. Like terms are terms that contain the same variables raised to the same power. In this case, the like terms are $-x$ and $7x$ .
$-x +7x$

Add the coefficients of the like terms.
$-3x +7x =x$

Now, let's simplify the remaining part of the expression, which is $y - y$ .

Subtract the coefficients of the like terms.
$y - y =0$

Now, let's combine the results from steps3 and5 to get the final simplified expression.
$4x +0$

The term $0$ does not affect the value of the expression, so we can omit it.
The final simplified expression is $4x$ .