# When must a system of linear equations be solved algebraically

Posted By Admin @ September 03, 2022

#### Question:

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

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.

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