The system of equations y = one-fourth x minus 5 and y = negative one-half x minus 3 is shown on the graph below.

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

The system of equations y = one-fourth x minus 5 and y = negative one-half x minus 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 solution is

Therefore, the correct statement is

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

Step-by-step explanation:

The given equations are

Equation 1:

Equation 2:

The point of intersection is given by

The corresponding y value is

So the solution is

Therefore, the correct statement is

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

option (b) is correct

step-by-step explanation:

to find the solution of this system, we need to convert it into reduced row-echelon form. we have,

after applying row operations r2 -> r2/2 and r3 -> r3/3, we get,