The system of linear equations to find the value of (X) is: [2X + 6 = 3X]
To graph a system of linear equations to find the value of (X), we need to set up the equations based on the given information.
The problem states that a rectangle has a width of 3 inches and a length of (X) inches, and the value of the perimeter of the rectangle is equal to the value of the area.
The perimeter of a rectangle is given by the formula (P = 2L + 2W), and the area of a rectangle is given by the formula (A = LW).
Given that the width is 3 inches and the length is (X) inches, we can set up the following system of equations:
[2X + 2(3) = X(3)]
This equation represents the value of the perimeter of the rectangle being equal to the value of the area. We can simplify this equation to:
[2X + 6 = 3X]
Subtracting (2X) from both sides, we get:
[6 = X]
So the value of (X) is 6 inches. Therefore, the system of linear equations to find the value of (X) is: [2X + 6 = 3X]