## anonymous one year ago A pair of equations is shown below. x + y = 2 y = one halfx + 5 If the two equations are graphed, at what point do the lines representing the two equations intersect? (4, −2) (−2, 4) (2, 5) (5, −2) Please help I will fail if I dont do this plese help me

1. butterflydreamer

firstly, you want to make y the subject in the first equation " x + y = 2" :)

2. anonymous

ok

3. anonymous

Then what

4. butterflydreamer

so can you tell me what it would be?

5. anonymous

I know you isolate it but I do not really understand

6. butterflydreamer

$x + y = 2 \rightarrow y = -x + 2$ right? All i did was subtract "x" from both sides to make y the subject :)

7. anonymous

ok then what

8. anonymous

you do it to x also

9. butterflydreamer

so now we have two equations:|dw:1436241915931:dw|

10. anonymous

but which answer is it (4, −2) (−2, 4) (2, 5) (5, −2) is what confuses me

11. butterflydreamer

you know what... here's an easier method. Just plug in the values for each option and see which one satisfies the equation. So for example.. the first option (4, -2), this means x = 4, y = -2 Plug this into the first equation " x + y = 2" 4 + (-2) = 2 4-2 = 2 2=2 So this works :) BUT you have to plug the points into the second equation " y = 1/2x + 5" 4 = 1/2 (-2) + 5 4 = -1 + 5 4 = 4 This works SOOO, since (4, -2) works.. this is your point of intersection

12. anonymous

oooooooooooooooohhhhhhhhhhhhhhh that is easy

13. butterflydreamer

also, you got lucky that was the first option and it was the answer.When in doubt, plug it in. Don't just demand answers.lol