Question

What is the solution of this system of equations?y = 3x + 5y = -x + 3​

Answer 1

Answer:

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)