Final answer:
Option B). The ordered pair (-6,5) is a solution to the linear equation 2x + 3y = 3.
Step-by-step explanation:
The ordered pair (-6,5) represents the coordinates (-6, 5) where -6 is the x-coordinate and 5 is the y-coordinate. To determine which linear equation this ordered pair corresponds to, we need to substitute the values of x and y into each equation and see which equation is true.
Substituting x = -6 and y = 5 into each equation:
A. 2x = -3y + 3: 2(-6) = -3(5) + 3 => -12 = -15 + 3 => -12 = -12
B. 2x + 3y = 3: 2(-6) + 3(5) = 3 => -12 + 15 = 3 => 3 = 3
C. y = 2/3x + 1: 5 = 2/3(-6) + 1 => 5 = -4 + 1 => 5 = 5
Since the ordered pair (-6,5) satisfies equation B, the answer is B. 2x + 3y = 3.