## anonymous one year ago The graph of the following system of equations is −2x + y = 3 4x + 2y = 2 overlapping lines parallel lines intersecting lines

1. MrNood

first rewrite both equations so they are each in the form y=mx + b you can easily tell the answer then (I will help if oyu write the equations in that form...)

2. anonymous

im not sure how to

3. MrNood

in the first equation add 2x to each side do that one first

4. anonymous

am i supposed to solve it? @MrNood

5. MrNood

just add 2x to each side and write the resulting equation here

6. anonymous

−2x + y = 3 2x 2x

7. MrNood

In that case I'm afraid you don't have the background skills to answer a question like this. You should go back to study simple equations, and how to re-arrange them, and then come back to these 'systems of equations'

8. anonymous

@imqwerty can you explain this pls

9. MrNood

no one can 'explain' this in time for you to do an exam. you need to re-arrange the 2 equations so that they look lik e y=mx+b get the y term on one side, and the other terms on the other side you must have done this in your class if it being set in an exam (and btw - why are you asking exam questions here?)

10. anonymous

um its online class .. tyvm i basically have to teach myself gtfo

11. anonymous

i can take my time on virtual school on a exam its at your own pace carry on

12. MrNood

in the first equation add 2x to each side do that one first

13. imqwerty

ok so both the equation represent 2 lines the standard equation of a line is--->ax+by+c=0 suppose we have 2 lines say-$a_{1}x+b_{1}y+c_{1}=0$and$a_{2}x+b_{2}y+c_{2}=0$ the lines are overlapping if-$\frac{ a_{1} }{ a_{2} }=\frac{ b_{1} }{ b_{2}}=\frac{ c_{1} }{ c_{2}}$ the lines are parallel if-$\frac{ a_{1} }{ a_{2} }=\frac{ b_{1} }{ b_{2}} \neq \frac{ c_{1} }{ c_{2}}$ and intersecting if-$\frac{ a_{1} }{ a_{2} }\neq\frac{ b_{1} }{ b_{2}} \neq\frac{ c_{1} }{ c_{2}}$ so we have 2 equations that is we got 2 lines i'll jst give u some hint then u can do it ..if u get any prblm jst ask :) so lets take the 1st line -2x+y=3 we need to convert it to this form-->ax+by+c=0 so basically we want 0 on the right so we subtract 3 from both sides -2x+y-3=3-3 -2x+(1)y-3=0 comparing this with ax+by+c=0 we get a=-2 b=1 and c=-3 now we have a,b,c of 1st line find a,b,c of second line and then apply the thing i wrote up there^ :) which ever satisfies is ur answer

14. MrNood

yeah - like she'll understand that if she won't add 2x to each side.....

15. anonymous

so it would be intersecting right? @imqwerty

16. imqwerty

yes :)

17. anonymous

Thank You :)

18. imqwerty

no prblm :)