Question

what expression is equivilant to (3.1x - 2.4y + 1.9) + (2.2x - 1.4y - 3.4)?

(3.1x + 2.2x)+ (-2.4y + 1.4y) +(1.9 +v3.4)
(3.1x + (-2.2x)) + (-2.4 + ( -1.4y)) + (1.9 + ( -3.4))
(3.1x + 2.2x ) + (-2,4 + (-1.4)) + (1.9 + (-3.4))
(3.1x + 2.2x) + (-2.4y + ( -3.4)) + (1.9 +(-1.4
closest answer

Answer 1

To simplify the expression \((3.1x - 2.4y + 1.9) + (2.2x - 1.4y - 3.4)\), we will combine like terms step by step.

1. **Combine the \(x\) terms:**
\[
3.1x + 2.2x = 5.3x
\]

2. **Combine the \(y\) terms:**
\[
-2.4y - 1.4y = -3.8y
\]

3. **Combine the constant terms:**
\[
1.9 - 3.4 = -1.5
\]

So, the expression simplifies to:
\[
5.3x - 3.8y - 1.5
\]

Now, let's compare the given answer choices with this simplified form:

1. \((3.1x + 2.2x) + (-2.4y + 1.4y) + (1.9 + (-3.4))\) - This simplifies to \(5.3x - 1.0y - 1.5\), incorrect.
2. \((3.1x + (-2.2x)) + (-2.4y + (-1.4y)) + (1.9 + (-3.4))\) - This simplifies to \(0.9x - 3.8y - 1.5\), incorrect.
3. \((3.1x + 2.2x) + (-2.4 + (-1.4)) + (1.9 + (-3.4))\) - This one doesn't properly include the \(y\) terms.
4. \((3.1x + 2.2x) + (-2.4y + (-1.4y)) + (1.9 + (-3.4))\) - This simplifies to \(5.3x - 3.8y - 1.5\), correct.

Thus, the closest answer is:
\[
(3.1x + 2.2x) + (-2.4y + (-1.4y)) + (1.9 + (-3.4))
\]