\begin{aligned} &2x-3y=-5 &4x-4y=-4 \end{aligned} 2x−3y=−5 4x−4y=−4 Is (2,3)(2,3)left parenthesis, 2, comma, 3, right parenthesis a solution of the system

The correct answer is YES, it is a solution of the system.

Step-by-step explanation:

The system of equations have equations 2x − 3y = −5 and 4x − 4y = −4.

We need to find whether of not (2,3) is a solution to the system of equation.

We multiply the equation 2x − 3y = −5 by 2 and subtract it with the other equation. This gives us,

⇒ 4x - 6y +10 -4x +4y -4 = 0

⇒ 2y = 6

⇒ y = 3.

⇒ x = 2.

Thus ( 2 , 3 ) is the solution.