What is the solution of this system of equations?

y = 3x + 5

y = - x + 3

The solution is (-1/2, 3 1/2), or (-0.5, 3.5)

Step-by-step explanation:

Seeing that - x + 3 = y (in the second equation), substitute - x + 3 for y in the first equation, obtaining:

-x + 3 = 3x + 5

Combining the x terms, we get

3 = 4x + 5

Combining the constants, we get

4x = - 2, or x = - 1/2

Seeing that - x + 3 = y, substitute - 1/2 for x and calculate y:

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

The solution is (-1/2, 3 1/2), or (-0.5, 3.5)