Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

true or false: if a coordinate pair satisfies one of the equations in a…

Question

true or false: if a coordinate pair satisfies one of the equations in a system of linear equations, then it is a solution to the system.
true
false
rewatch submit

Explanation:

Step1: Recall system solution definition

A solution to a system of linear equations must satisfy \(\boldsymbol{all}\) equations in the system, not just one.

Step2: Analyze the statement

The statement claims satisfying one equation means it's a system solution. This contradicts the definition (needs all equations satisfied). So the statement is false.

Answer:

False