Question

What is one of the solutions to the following system? StartLayout Enlarged left-brace 1st Row y minus 3 = x 2nd row x squared minus 6 x + 13 = y EndLayout (–5, 2) (–2, 1) (2, 5) (8, 5)

Answer 1

Answer is C

Explanation:

Answer 2

The solution of given equation is (2,5)

Explanation:

The equations give to us are:

y - 3 = x

or

y = x + 3

y = x² - 6x + 13

We can find the solution of the given system of equations by substituting each point in both of the equations. The point which satisfies both of the equation will be the solution of the the system of given equation.

Substitute (2,5) in both equations

y = x+3

5 = 2+3

5 = 5

TRUE

y = x² - 6x + 13

5 = 2² -6(2) + 13

5 = 5

TRUE

Similarly, we can also check the rest of the points, which come as FALSE.

Therefore, the solution of given equation is (2,5)