Question

Which point is a solution to the system of linear equations?

y = −x + 1
3x − y = 3

three halves comma negative one half
(1, 0)
negative one half comma three halves
(0, 1)

Answer 1

The point that is a solution to the system of linear equations is three halves, negative one half.

Step-by-step explanation:

To find which point is a solution to the system of linear equations, we need to substitute the given points into both equations and see if they satisfy the equations simultaneously.

Taking the first point, (3/2, -1/2), substituting it into the equations gives:

y = -(3/2) + 1 = -3/2 + 1 = -1/2

3x - y = 3(3/2) - (-1/2) = 9/2 + 1/2 = 10/2 = 5

Since the results are equal, the point (3/2, -1/2) is a solution to the system of linear equations.

Therefore, the answer is three halves, negative one half.

Answer 2

The answer is B. (1, 0)

Step-by-step explanation:

Hope this helps