Question

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!

Answer 1

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

Answer 2

now solve for y

Answer 3

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

Answer 4

yes

Answer 5

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

Answer 6

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

Answer 7

wait i got

-25y - 28 = 17

Answer 8

i combined like terms.

Answer 9

then i ended up with -25y = 45

Answer 10

-15y=45
y=-3

Answer 11

ahhh thanks. my bad.

Answer 12

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

Answer 13

what is x if y=-3

Answer 14

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

Answer 15

yeah. so x = 8 ! omggg

Answer 16

you've made my life so much easier

Answer 17

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

Answer 18

you taught me in a different way.

Answer 19

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

Answer 20

yeah. i got it! thank you so much!

Answer 21

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

Answer 22

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

Answer 23

solve both of them for y

Answer 24

what do you mean?

Answer 25

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...

Answer 26

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

Answer 27

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

Answer 28

this one seems more complicated.

Answer 29

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)

Answer 30

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

Answer 31

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

Answer 32

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

Answer 33

i got (1, -2 )

Answer 34

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

Answer 35

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

Answer 36

where did x/2 come from?

Answer 37

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

Answer 38

nevermind. i got it.

Answer 39

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

Answer 40

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

Answer 41

hmmm. so you multiplied the reciprocal of x/2

Answer 42

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

Answer 43

and thats how you got your answer right?

Answer 44

no i multiplied by 2 not 2/x

Answer 45

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

Answer 46

gotcha

Answer 47

thank you so much!

Answer 48

np

Answer 49

can you please help me with another one?

Answer 50

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

Answer 51

hello.