Which of the following ordered pairs is a solution to 2.5y - 3x = 10?
• (-5,-2)
• (5,2)
• (5, -2)
• (-5,2)
To determine if an ordered pair is a solution to the equation 2.5y - 3x = 10, we substitute the x and y values from the ordered pair into the equation and see if the equation is true.
Let's check each option one by one:
1. (-5,-2)
2.5(-2) - 3(-5) = 10
-5 - (-15) = 10
-5 + 15 = 10
10 = 10
The equation is true for this option, so (-5,-2) is a solution to the equation.
2. (5,2)
2.5(2) - 3(5) = 10
5 - 15 = 10
-10 = 10
The equation is not true for this option, so (5,2) is not a solution to the equation.
3. (5, -2)
2.5(-2) - 3(5) = 10
-5 - 15 = 10
-20 = 10
The equation is not true for this option, so (5,-2) is not a solution to the equation.
4. (-5,2)
2.5(2) - 3(-5) = 10
5 - (-15) = 10
5 + 15 = 10
20 = 10
The equation is not true for this option, so (-5,2) is not a solution to the equation.
Therefore, the only ordered pair that is a solution to 2.5y - 3x = 10 is (-5,-2).