When must a system of linear equations be solved algebraically, not graphically? whenever the solution to a system does not have coordinates, it can be difficult or impossible to find the precise answer through graphing. a.) integer b.) irrational

The correct answer is the Option "A": Integer. Then, the text is: "Whenever the solution to a system does not have integer coordinates, it can be difficult or impossible to find the precise answer through graphing."
 
 By definition, the numbers called "Integers" are all the positive numbers (which are known as "Natural numbers"), all the negative numbers and the zero (0) and they are identified with the letter "Z": 
 
 Z= {-∞...-3,-2,-1,0,1,2,3...+∞}

When the solutions have irrational coordinates.

When a system must be solved algebraically?

When we solve a system graphically, we must find the point where the lines intersect, and that is the solution. So this works better when the solutions are whole numbers and easy to read.

That is not the case for irrational numbers, finding the exact solution when it is irrational is almost impossible using the graphing method, so in these cases, we need to solve it algebraically.

Concluding, the correct option is B.

If you want to learn more about systems of equations, you can read:

link

Theirhgghh