Question

Which of the following ordered pairs is a solution to
2.5y-3x=10? So your work

(5, -2)
(-5, 2)
(5, 2)
(-5, -2)

Answer 1

Please make it way shorter

Answer 2

shorter

Answer 3

To determine which ordered pairs are solutions to the equation \(2.5y - 3x = 10\), we need to substitute each pair into the equation and see if it holds true.

### Let's evaluate each ordered pair:

1. **For the pair (5, -2):**
\(x = 5, y = -2\)
Substitute into the equation:
\[
2.5(-2) - 3(5) = 10
\]
\[
-5 - 15 = 10
\]
\[
-20 \neq 10 \quad \text{(not a solution)}
\]

2. **For the pair (-5, 2):**
\(x = -5, y = 2\)
Substitute into the equation:
\[
2.5(2) - 3(-5) = 10
\]
\[
5 + 15 = 10
\]
\[
20 \neq 10 \quad \text{(not a solution)}
\]

3. **For the pair (5, 2):**
\(x = 5, y = 2\)
Substitute into the equation:
\[
2.5(2) - 3(5) = 10
\]
\[
5 - 15 = 10
\]
\[
-10 \neq 10 \quad \text{(not a solution)}
\]

4. **For the pair (-5, -2):**
\(x = -5, y = -2\)
Substitute into the equation:
\[
2.5(-2) - 3(-5) = 10
\]
\[
-5 + 15 = 10
\]
\[
10 = 10 \quad \text{(is a solution)}
\]

### Conclusion:
The ordered pair that is a solution to the equation \(2.5y - 3x = 10\) is \((-5, -2)\).

Answer 4

Sure! Let's quickly check each ordered pair:

1. **(5, -2)**:
\[
2.5(-2) - 3(5) = -5 - 15 = -20 \quad \text{(not a solution)}
\]

2. **(-5, 2)**:
\[
2.5(2) - 3(-5) = 5 + 15 = 20 \quad \text{(not a solution)}
\]

3. **(5, 2)**:
\[
2.5(2) - 3(5) = 5 - 15 = -10 \quad \text{(not a solution)}
\]

4. **(-5, -2)**:
\[
2.5(-2) - 3(-5) = -5 + 15 = 10 \quad \text{(is a solution)}
\]

### Answer:
The solution is \((-5, -2)\).

Answer 5

Sure! Here's the ultra-short version:

1. **(5, -2)**: \(-20\) (not a solution)
2. **(-5, 2)**: \(20\) (not a solution)
3. **(5, 2)**: \(-10\) (not a solution)
4. **(-5, -2)**: \(10\) (is a solution)

### Solution: \((-5, -2)\)