Question

determine if the ordered pair is a solution to the linear equation.
$-2x + 3y = 15$
part 1 of 3
(a) the ordered pair $left(2, \frac{19}{3}
ight)$ is a solution to the equation.
part 2 of 3
(b) the ordered pair $(-4, 3)$ is not a solution to the equation.
part 3 of 3
(c) the ordered pair $(-6, 1)$ select a solution to the equation.

Explanation:

Step1: Substitute x and y values

Substitute \( x = -6 \) and \( y = 1 \) into the equation \( -2x + 3y \).
\( -2(-6) + 3(1) \)

Step2: Calculate each term

Calculate \( -2(-6) = 12 \) and \( 3(1) = 3 \).
\( 12 + 3 \)

Step3: Sum the results

Sum the two results: \( 12 + 3 = 15 \).
Since the left - hand side equals the right - hand side (\( 15 = 15 \)) of the equation \( -2x+3y = 15 \).

Answer:

is