\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.

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)