Question

Solving special systems
{y=1/2x+4
{-1/2x+y=-5

Answer 1

no solution

Explanation:

Given the 2 equations

y =
`(1)/(2)` x + 4 → (1)

-
`(1)/(2)` x + y = - 5 → (2)

Substitute y =
`(1)/(2)` x + 4 into (2)

-
`(1)/(2)` x +
`(1)/(2)` x + 4 = - 5 , that is

4 = - 5 ← not possible

This indicates the system has no solution