Question

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)

Answer 1

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).

Answer 2

See below in bold.

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).