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.

this linear equation would have just one solution.

step-by-step explanation:

the reason why this would have one solution is that it is an expression with just one variable. since that variable is not raised to a power, it will always have just one solution.