Graph the system of equations. then determine wheather the system has no solution, one solution, or infinitely many solutions. if the systems has one solution, name it. y= -x + 5 y= x - 3 a. one solution; (1,4) b. infinitely many c. no solution d. one solution; (4, 1)

See below in bold.

Step-by-step explanation:

If we add the 2 equations  we eliminate x  and we get 2y =2.

So y = 1.

Substituting y = 1 in the second equation 1 = x - 3.

So x = 4.

A. One solution: (4, 1).

If we drew a graph we would have 2 lines which intersect at the point (4, 1).

Step-by-step explanation:

If we add the 2 equations  we eliminate x  and we get 2y =2.So y =1.

Substituting y = 1 in the second equation 1 = x - 3.So x = 4.

A.

One solution: (4, 1).If we drew a graph we would have 2 lines which intersect at the point (4, 1).

$12. that is my answer.

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1