If the graphs of two linear equations in a system have different slopes, the system _____has exactly one solut

If the graphs of two linear equations in a system have different slopes, the system _____has exactly one solution

Choices are

always

sometimes

never

Top 5 Answers

A few days ago

Jason C

Favorite Answer

always and i’m sure. The meet at some point. = solution

A few days ago

Tad W

Sometimes. Since the lines are linear, there can never be more than one solution, but it is possible that the two lines lie in different planes and will not intersect, and it is possible that the intersection point will lie outside of the system boundaries, and therefore not be in the solution set. In which case, there won’t be a solution “in the system.”

If you are dealing with just 2 dimensions in Euclidian space, and the system boundaries are infinite, then the answer is “always.”

A few days ago

Anonymous

Always – becuase if the two lines have different slopes they will eventually meet at a point – and that point represents the solution.

4 years ago

papin

The matrix version of the subject is AX = b the place A is a 2×2 matrix [4, ok; ok, a million] X is a vector variable [x; y] and b is a vector consistent [7; 0] there will be a special answer as long as A is non-singular. there merely isn’t a special answer if A *is* singular. For A to be singular det(A) = 0 the place det() is the “determinant” of a sq. matrix for a 2×2 matrix [a, b; c, d] det([a, b; c, d]) = advert – bc subsequently on your case 4*a million – ok*ok = 0 ok^2 = 4 ok = +/- 2

A few days ago

Anonymous

always…i think

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If the graphs of two linear equations in a system have different slopes, the system _____has exactly one solut

If the graphs of two linear equations in a system have different slopes, the system _____has exactly one solut

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