Question

PLEASE HELP (MEDAL)
x − y = 5

3x + 2y = −1
(a)
(2, −3)
(b)
(6, 1

Answer 1

I'm going to assume there are more options, yes?

Answer 2

im not really understanding the question?

Answer 3

oh i see the coordinates must work for both equations

Answer 4

Determine whether each point is a solution to the system of linear
equations.
1.
x − y = 5

3x + 2y = −1
(a)
(2, −3)
(b)
(6, 1)

Answer 5

it is not a or b. choice a does not work for any of them and b only works for the first equation

Answer 6

unfortunately, i can still only see choices a and b.

Answer 7

becuse those are the only choices

Answer 8

oh wait

Answer 9

choice a has a -3

Answer 10

so it works for the first equation

Answer 11

\[\large \sf 6-6 \neq -1\]

Answer 12

but it equals 0 for the second equation

Answer 13

i am sorry they both work for the first equation but not for the second equation.

Answer 14

ok?

Answer 15

are you supposed to solve the system \[x − y = 5 \\3x + 2y = −1\]?

Answer 16

double the first one \[2x-2y=10\\
3x+2y=-1\] then add and the \(y\) terms will go bye bye leaving \[5x=9\]

Answer 17

ok

Answer 18

making \[x=\frac{9}{5}\]

Answer 19

plug that in to \(x-y=5\) and solve \[\frac{9}{5}-y=5\]

Answer 20

if one answer choices is not \[(\frac{9}{5},-\frac{16}{5})\] then there is a typo somewhere

Answer 21

@iambatman Please help.

Answer 22

Hi, it seems you're in good hands what's the problem?

Answer 23

I can't find out out to do this problem. And I am not understanding the the other people are saying.

Answer 24

Well the idea here is to get a point (x,y) so you have two equations and you need to solve for both x and y, so we have a system of equations.

Answer 25

ok

Answer 26

There are a few ways to do this, substitution, elimination, matrices etc. But lets do elimination, so our goal is to first solve for either x or y.

x-y=5
3x+2y=-1

So as mentioned in the name elimination, lets eliminate one of the variables. As satellite mentioned it would be a good idea to double the first equation meaning multiply it by 2, so we get \[2 \times (x-y=5) \implies 2x-2y=10\] so our system now is \[2x-2y=10\]\[3x+2y=-1\] now add these two equations what happens?

Answer 27

I don't really know what happens next.

Answer 28

What is 2x+3x?

Answer 29

1?

Answer 30

I will be rightback

Answer 31

2x+3x=5x right?

Answer 32

witch one do you need help with?

Answer 33

YES IT DOES. @iambatman