Question

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.

Answer 1

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

Explanation:

Answer 2

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

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