Sylvie finds the solution to the system of equations by graphing. y = x + 1 and y = x – 1 which graph shows the solution to sylvie’s system of equations?

y=x+1 and y=x-1 are two parallel lines with no intersection. So that is how they would look like in a graph.

Because there is no intersection point, the questions have no solution.

x = 3 ± √(5+y)

isaiah walks 3 miles due north, turns and then 5 miles due east. how far is he from his starting point?

a^2 + b^2 = c^2

let c = distance from starting point.

(3)^2 + (5)^2 = c^2

9 + 25 = c^2

34 = c^2

sqrt{34} = sqrt{c^2}

sqrt{34} = c