give the ordered pair that satisfies the system of equations below...
x= -5y-7
4x + 5y = 17
someone please help me! i really dont understand it. can you please indicate me what to do!

- anonymous

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- myininaya

ok you see x=-5y-7
plug that x into the other equation
4(-5y-7)+5y=17

- myininaya

now solve for y

- anonymous

first you would distribute 4 right?? omg this is highschool stuff and im only in middle school! -_-

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## More answers

- myininaya

yes

- myininaya

-20y-28+5y=17
now what

- anonymous

plus 28 on both sides. meaning you wud cancel out -28 and add 28 to 17

- anonymous

wait i got
-25y - 28 = 17

- anonymous

i combined like terms.

- anonymous

then i ended up with -25y = 45

- myininaya

-15y=45
y=-3

- anonymous

ahhh thanks. my bad.

- anonymous

then what do i do? i have to give the ordered pairs.

- myininaya

what is x if y=-3

- myininaya

remember x=-5y-7 and we know y=-3 so x=?

- anonymous

yeah. so x = 8 ! omggg

- anonymous

you've made my life so much easier

- anonymous

my teacher taught it to me in an impossible way. thank you so much.

- anonymous

you taught me in a different way.

- myininaya

the ordered pair (x,y)=(8,-3)

- anonymous

yeah. i got it! thank you so much!

- myininaya

there are other ways to solve this types
i like substitution the most thats what we did above

- anonymous

my teacher told me to put it in y=mx + b form. but i didnt know how to do that.

- myininaya

solve both of them for y

- anonymous

what do you mean?

- myininaya

x=-5y-7 add 7 to both sides
x+7=-5y now divide by -5 on both sides
(x+7)/(-5)=y
y=x/(-5)+7/(-5)
y=-x/5-7/5
the other equation...

- myininaya

4x+5y=17
solve for y
we subtract 4x on both sides
5y=-4x+17
now divide by 5
y=(-4x+17)/5
y=-4x/5+17/5

- myininaya

to see where the lines intersect set them equal after putting both in y=mx+b form
so we have -x/5-7/5=-4x/5+17/5
we can get rid of the fractions by multiplying both sides by 5
so we have -x-7=-4x+17

- anonymous

this one seems more complicated.

- myininaya

solve the above this equation for x by first add 4x on both sides
3x-7=17
adding 7
3x=24
x=8
to find out what y is we just plug into either y=-4x/5+17/5 or y=-x/5-7/5
so if x=8, y=-8/5-7/5=-15/5=-3
so the ordered pair is (x,y)=(8,-3)

- anonymous

ahhh. but i like the other way better. this one seems like more work. but i find the other one easier.

- anonymous

wait, can you see if im right on this other one i did.

- anonymous

y= 1/2x - 2 ( a half times x minus 2 )
y= -3x +5

- anonymous

i got (1, -2 )

- anonymous

i plotted these equations and choose the ordered pair below where these lines intersect.

- myininaya

x/2-2=-3x+5
x-4=-6x+10
7x=14
x=2
so y=-3(2)+5=-1
(x,y)=(2,-1)

- anonymous

where did x/2 come from?

- myininaya

isn't that 1/2 * x up there?

- anonymous

nevermind. i got it.

- anonymous

can you explain to me how you got x-4 = -6x + 10 what did you multiply?

- myininaya

i just got rid of the fractions by multiplying both sides by 2

- anonymous

hmmm. so you multiplied the reciprocal of x/2

- anonymous

which is 2/x then you multiplied that by -2 and -3 and positive 5.

- anonymous

and thats how you got your answer right?

- myininaya

no i multiplied by 2 not 2/x

- myininaya

2(x/2)-2(2)=2(-3x)+2(5)
x-4=-6x+10

- anonymous

gotcha

- anonymous

thank you so much!

- myininaya

np

- anonymous

can you please help me with another one?

- anonymous

im not good in algebra 1 im only in 8th grade and this is hs stuff.

- anonymous

hello.

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