Solve the system by using a matrix equation 3x-5y=3 3x-4y=3

Mathematics

2 answers:

natka813 [3]3 years ago

6 0

Answer: B. (1,0)

Step-by-step explanation:

1. We will use the matrix method to solve this problem.

3 -5 3

3 -4 3

2. Apply to Row2 : Row2 - Row1.

3 -5 3

0 1 0

3. Simplify rows.

3 -5 3

0 1 0

Note: The matrix is now in row echelon form.

The steps below are for back substitution.

4. Apply to Row1 : Row1 + 5 Row2.

3 0 3

0 1 0

5. Simplify rows.

1 0 1

0 1 0

Note: The matrix is now in reduced row echelon form.

6. Therefore,

x=1

y=0

or (1,0).

babunello [35]3 years ago

3 0

Answer:

The correct answer is B. (1,0).

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Answer: (b) exactly one plane contains a given line and a point not on the line.

Step-by-step explanation: The basic postulates of geometry are very-well known to all of us. For example-

(i) The intersection of two lines determines a point,

(ii) Two parallel lines give result to a plane,

(iii) A line and a point not on the line determines a plane, etc...

Thus, with the help of the third point, we can easily arrive at the conclusion that a given line and a point not lying on the line is contained in a plane. For example- see the attached figure, AB is a line and P is any point not on the line. They both contained in the plane ABC.

Hence, the correct option is (b).