Question

Which of the following ordered pairs is a solution to 2.5y−3x=10?
A) -5,2
B) 5,-2
C) -5,-2
D) 5,2

Answer 1

To determine which of the ordered pairs is a solution to the equation \( 2.5y - 3x = 10 \), we can substitute the values of \( x \) and \( y \) from each pair into the equation and see if the equation holds true.

Let's evaluate each pair:

**A) (-5, 2)**
Substituting \( x = -5 \) and \( y = 2 \):
\[
2.5(2) - 3(-5) = 5 + 15 = 20 \quad \text{(not equal to 10)}
\]

**B) (5, -2)**
Substituting \( x = 5 \) and \( y = -2 \):
\[
2.5(-2) - 3(5) = -5 - 15 = -20 \quad \text{(not equal to 10)}
\]

**C) (-5, -2)**
Substituting \( x = -5 \) and \( y = -2 \):
\[
2.5(-2) - 3(-5) = -5 + 15 = 10 \quad \text{(equal to 10)}
\]

**D) (5, 2)**
Substituting \( x = 5 \) and \( y = 2 \):
\[
2.5(2) - 3(5) = 5 - 15 = -10 \quad \text{(not equal to 10)}
\]

The only ordered pair that satisfies the equation \( 2.5y - 3x = 10 \) is:

**C) (-5, -2)**.