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

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- anonymous

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- 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...)

- anonymous

im not sure how to

- MrNood

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

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- anonymous

am i supposed to solve it? @MrNood

- MrNood

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

- anonymous

−2x + y = 3
2x 2x

- 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'

- anonymous

@imqwerty can you explain this pls

- 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?)

- anonymous

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

- anonymous

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

- MrNood

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

- 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

- MrNood

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

- anonymous

so it would be intersecting right? @imqwerty

- imqwerty

yes :)

- anonymous

Thank You :)

- imqwerty

no prblm :)

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