The system of equations y = 1/4x-5 and y = - 1/2x-3 is shown on the graph below.

Which statement is true about the solution to the system of equations?

The x-value is between 2 and 3, and the y-value is between - 4 and - 5.

The x-value is between - 4 and - 5, and the y-value is between 2 and 3.

The x-value is between - 2 and - 3, and the y-value is between 4 and 5.

The x-value is between 4 and 5, and the y-value is between - 2 and - 3.

the first one x value is between 2 and 3, and the y value is between - 4 and - 5

Step-by-step explanation:

Multiply the first equation for 4 and second equation by 3

y=1/4x-5 (x4) Then, 4y = x-20

y=-1/2x-3 (x3) Then, 2y=-x-6

From the fist equation we organize the equation as y = (x-20) / 4

and we add this value of y on the second equation

2 ((x-20) / 4) = -x-6 the number 4 goes to the other side multiply x-6 and number 2 on the other side multiply x-20

Then, 2x - 40 = - 4x-24 then we put x in one side and numbers on the other

2x+4x = - 24+40

Then. 6x = 16 then x = 2.66 = > x is between 2 and 3

Then this value of X goes to the first equation y = (2.66-20) / 4

y = - 4.33 the value y is between - 4 and - 5