Simplify the expression: 3x + 2y + 4y - x.

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Multiple Choice

Simplify the expression: 3x + 2y + 4y - x.

Explanation:
To simplify the expression \(3x + 2y + 4y - x\), we begin by identifying and combining like terms. "Like terms" are terms that have the same variable raised to the same power. In this case, we have two types of like terms: 1. Terms involving the variable \(x\): \(3x\) and \(-x\). 2. Terms involving the variable \(y\): \(2y\) and \(4y\). We will first combine the \(x\) terms: \[ 3x - x = 2x \] Next, we combine the \(y\) terms: \[ 2y + 4y = 6y \] Now, we can put these results together: \[ 2x + 6y \] This leads us to the simplified expression \(2x + 6y\). Therefore, this choice is correct because it accurately combines the \(x\) and \(y\) terms in the expression.

To simplify the expression (3x + 2y + 4y - x), we begin by identifying and combining like terms. "Like terms" are terms that have the same variable raised to the same power.

In this case, we have two types of like terms:

  1. Terms involving the variable (x): (3x) and (-x).

  2. Terms involving the variable (y): (2y) and (4y).

We will first combine the (x) terms:

[

3x - x = 2x

]

Next, we combine the (y) terms:

[

2y + 4y = 6y

]

Now, we can put these results together:

[

2x + 6y

]

This leads us to the simplified expression (2x + 6y). Therefore, this choice is correct because it accurately combines the (x) and (y) terms in the expression.

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