Question

What is the value of the y variable in the solution to the following system of equations?
5x + 3y = 7
3x - 5y = -23

Answer 1

@satellite73 @rajathsbhat

Answer 2

multiply the first equation by 3 and the second one by 5 and subtract one from the other.

Answer 3

is it 4?

Answer 4

@hba

Answer 5

Well there are two methods we can deal these sort of linear equations with two variables with

1) Substitution

2)Elimination


Which one would you prefer ?

Answer 6

1

Answer 7

Well in the process of substitution we pick one equation and then substitute it into the other

5x + 3y = 7-----(1)
3x - 5y = -23----(2)


Lets pick up eq(1)

=) 5x + 3y = 7


1)subtract 3y by both sides.

Answer 8

5x = 7-3y

Answer 9

Now divide the whole equation by 5

Answer 10

do you need the solution for variable y ?

Answer 11

Just do as i say :)

I am going towards that :)

Answer 12

And Yes we need the solution to the y variable :)

Answer 13

idk ;/

Answer 14

5x = 7-3y

Divide both sides by 5

Answer 15

@Gabylovesyou I know you have a busy life

Please respond......

Answer 16

5x / 5 = 7 - 3y / 5
x = idk

Answer 17

Yeah right :)


\[x=\frac{ 7-3y }{ 5}---(3)\]

Let it be eq (3)

Now put Eq(3) or x in Eq(2)

3x - 5y = -23

\[3(\frac{ 7-3y }{ 5 })-5y=-23\]

Solve for y :)

Answer 18

ok hold on

Answer 19

y = 110/17

Answer 20

Do it again

Answer 21

-.- idk

Answer 22

4?

Answer 23

Do it again _-_

Answer 24

1?

Answer 25

Yeah correct

y=4

Answer 26

ohh lol yaaay

Answer 27

Good going (y)