Question

A system of equations is shown below:

2x = 5y + 4
3x - 2y = -16

What is the solution to this system of equations?

Answer 1

try solving for x in the first equation and then use substitution.

Answer 2

What do you mean? I'm terrible at this.

Answer 3

@Redemption

Answer 4

2x = 5y + 4
solve for the x variable

Answer 5

How man.... -2 from every side?

Answer 6

2x = 2 times x
to get x by itself you do the opposite which is division
so you dvide by 2

Answer 7

So, x = 5y + 2?

Answer 8

@Redemption Can you actually help?

Answer 9

x = 5/2 y + 2
now substitute.

Answer 10

@Redemption So, x = 2.5y + 2 === X = 4.5?

Answer 11

With that being the occsion, I'd assume the answer is (4, 8)

Answer 12

hmm @A.Squad you're supposed to know how to do linear simplification... thus

Answer 13

I understand it and all I'm just terrible at it.

Answer 14

well... still.. the exercise is just a system of equations.... if you dunno linear simplification, it wouldn't help give you this exercise

Answer 15

Okay, so I should just do..

2x = 5y + 4
x = 2.5 + 2
X = 4.5?

Answer 16

What did you do with the y - value?

Answer 17

How it's 2x = 5+.... OHOHHHH

Answer 18

2X = 5Y + 4
2/2x = 5y + 4
x = 5y + 4?

Answer 19

I mean x = 5y +2?

Answer 20

well... more or less, yes but you may want to keep it in fraction form usually

so \(\bf 2{\color{brown}{ x}} = 5y + 4\\
3{\color{brown}{ x}} - 2y = -16
\\ \quad \\ \quad \\
2{\color{brown}{ x}} = 5y + 4\implies {\color{brown}{ x}}=\cfrac{5y + 4}{2}\implies {\color{brown}{ x}}=\cfrac{5y }{2}+\cfrac{\cancel{ 4 }}{\cancel{ 2 }}
\\ \quad \\
{\color{brown}{ x}}=\cfrac{5y }{2}+2\qquad thus
\\ \quad \\
3{\color{brown}{ x}} - 2y = -16\implies 3{\color{brown}{ \cfrac{5y }{2}+2}} - 2y = -16\)

notice.... once we know what "x" is
then you can just substitute on the 2nd equation for it, and solve for "y"

Answer 21

and once you know what "y" is, as a constant
then you can plug that in on either equation, to get "x" as a constant

Answer 22

Okay, hold up, lemme studdy this for a sec.

Answer 23

Ohhh.

Answer 24

Wait, now I'm just confused... Which would it be?

(-8, -4)

(8, 4)

(-4, -8)

(4, 8)

Answer 25

heheh nevermind the choices.... what matters is the process
the choices are there as guidelines, no authority
supposed the choices are wrong

say how much is 2+2 choices -> 25, 3, 7, 11

so...the choices shouldn't matter, the choices MUST match your solution, not the other way around

Answer 26

Well, those are the answers.

Answer 27

tis ok.... so... simplify the substitution above to get "y" :)

Answer 28

Alright lemme do this.

Answer 29

So, x is 4?