Question

The graph of the following system of equations is

−2x + y = 3
4x + 2y = 2
overlapping lines
parallel lines
intersecting lines

Answer 1

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...)

Answer 2

im not sure how to

Answer 3

in the first equation add 2x to each side

do that one first

Answer 4

am i supposed to solve it? @MrNood

Answer 5

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

Answer 6

−2x + y = 3
2x 2x

Answer 7

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'

Answer 8

@imqwerty can you explain this pls

Answer 9

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?)

Answer 10

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

Answer 11

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

Answer 12

in the first equation add 2x to each side

do that one first

Answer 13

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

Answer 14

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

Answer 15

so it would be intersecting right? @imqwerty

Answer 16

yes :)

Answer 17

Thank You :)

Answer 18

no prblm :)