Question

What is the value of the x variable in the solution to the following system of equations?

2x − 3y = 3
5x − 4y = 4

a)−1
b)zero
c)x can be any number as there are infinitely many solutions to this system
d)There is no x value as there is no solution to this system

Answer 1

Have you tried it or not??

Answer 2

Yes i got a but i'm not sure if that is correct

Answer 3

wht r u getting ?

Answer 4

A..

Answer 5

-1

Answer 6

I am not getting this..

Answer 7

Check your solution once again..

Can you show your work??

Answer 8

Should i show my work ?

Answer 9

yes please

Answer 10

Wait @mathslover

Answer 11

k .. i will let u do it on ur own

Answer 12

firstly find the value of x in the first equation
2x-3y=3

Answer 13

in terms of y. . wht r u getting ?

Answer 14

When i isolated y i for 2/3x

Answer 15

got*

Answer 16

no dont isolate y ..
find the value of x ..

Answer 17

Use elimination @mathslover it will be easy...

Answer 18

\[\large{2x-3y=3}\]
\[\large{2x=3+3y}\]
divide both sides by 2 wht r u getting now ?

Answer 19

x= 3/2 + 3/2y

Answer 20

I tried using elimination @waterineyes and i got -1 :o

Answer 21

good now put this value of x in 2nd equation that is :
\[\large{5x-4y=4}\]
\[\large{5(\frac{3+3y}{2})-4y=4}\]
wht r u getting now ?
yes u r right y = -1

Answer 22

either do this in this way also ..if u want

Answer 23

Okay...

Firstly multiply the first equation by 4 and tell me what you got.

Answer 24

-4(2x-3y=3) 3(5x-4y=4) it will give something like -8x=-12 & 15x=12 after combining both it will give 7x=0 x=0

Answer 25

@mathslover question is demanding for x value and not y..

\(x \ne -1\)

Answer 26

Multiply first equation by 4 and second by 3:

\[8x - 12y = 12\]
\(15x - 12y = 12\)

\(-7x = 0\)

\(x = 0\)

Answer 27

Oh okay so x=0?
Based on elimination i got
8x-12y = 12 for 1st equation
-15x+ 12 = -12 for 2nd equation
so 7x = 0
so x is 0?

Answer 28

Thank you all for your help :)

Answer 29

Yes you are right @helpmexoxo

Answer 30

@waterineyes

I had showed the relation between y and x

and had calculated the value of y

then one can easily calculate for x..............

@helpmexoxo
Nice to hear that you got the correct way of answering the question............ :)

Answer 31

Then why you said yes you are right y = -1 ??
@mathslover

Answer 32

y=-1 and then x=(3+3y)/2=3-3/2=0/2=0

Answer 33

Anyways thanks to you too for helping @helpmexoxo ..

Answer 34

got it now ?

Answer 35

Not thanks to me ... one who did correct deserves thanks