Question

Which ordered pairs in the form (x, y) are solutions to the equation

7x−5y=28?
Select each correct answer.

(−1, −7)

(−6, −14)

(7, 9)

(4, 10)

Answer 1

Did you try to plug them in?

You can convert it into
5y = 7x - 28
y = (7x/5) - (28/5)

And check.

Answer 2

D......

Answer 3

@mhchen ??

Answer 4

So the ordered pairs are

(x, y)
For example,
(-1, -7) --> -7 = (7(-1)/5) -(28/5) <-- Check to see if that equals. If it doens't, move onto the next pair.

Answer 5

idk hoow to do it...

Answer 6

Just plug it in. Like for the first one
\[y = \frac{ 7x }{ 5 } - \frac{ 28 }{ 5 }\]

For (-1, -7)
\
[-7 = \frac{ 7*(-1) }{ 5 } - \frac{ 28 }{ ?5 }\]

And then you see if the above equation makes sense.
If it DOES, then that's your answer.

If it DOESN'T, then just move onto the next one.

Answer 7

ok

Answer 8

I'm lowkey still lost

Answer 9

Ohai Lowkey.

So if you look at our equation, it has an x and a y.

Right?

Answer 10

Yeah

Answer 11

and for the 4 ordered pairs you have, it's ( x-vaue , y- value)

Answer 12

So you put the x-value into the x part of the equation, and the y-value into the y part of the equation.

Answer 13

i dont understand sooo im jusst guess the answer

Answer 14

And our equation is basically the line on a graph, if the points (which is the ordered pairs) is on the line, then the equation should equal.

Answer 15

If you're gonna guess, guess (A)

Answer 16

they say its 2 answers tho

Answer 17

Ah crap, so there's another one.

Answer 18

yeah

Answer 19

You can just do the old fashion way of plugging x and y values into the normal equation.

7(-1) - 5(-7) = 28
7(-6) - 5(-14) = 28
7(7) - 5(9) = 28
7(4) - 5(10) = 28

Answer 20

So the first equation works, -7 + 25 = 28
The 2nd equation is -42 + 70 = 28

So it's (A) and (B)

Answer 21

wait do you doo...7*(-1 1st on A?

Answer 22

Yeah, sorry i g2g rn.

Answer 23

mhm