Question

Which graph represents the solution to the given system
Y=-x+2
Y=1/2x+8

Answer 1

y = 1 / 2 x + 8

Multiply both sides by 2

2 y = x + 16

y = - x + 2
+
2 y = x + 16
___________
3 y = 18

y = 18 / 3

y = 6

Put this value in equation y = - x + 2

6 = - x + 2

Subtract 2 to bith sides.

4 = - x

- x = 4

x = - 4

The solution is:

x = - 4 , y = 6

You can write solution as ( - 4 , 6 )

No graphs can be drawn on this site.

If you want to see the graph, go to the page:

wolframalha.c o m

When be page open in rectangle type :

y = - x + 2 , y = 1 / 2 x + 8

then click option =

You will see graph.