Question

Need Help!!
Solve the system of equations.

8y+10=6x
8y-4x=-12

Answer 1

subtract the second equation from the first.

Answer 2

But before you do this, you
add 4x to both sides
add 12 to both sides

Answer 3

so it would be like 8y+10=6x
-8y+12=+4x

Answer 4

NO

Answer 5

it is positive 8y in the 2nd equation.

Answer 6

you just added 12, and then 4x to both sides,
8y doesn't change.

Answer 7

oh sorry

Answer 8

typed something extra lol

Answer 9

Ok, so what are your equations are like?

Answer 10

will it be 14y+22=10x

Answer 11

No, hoe do you get that,
you have so far,

8y+10=6x
8y+12=4x

Answer 12

8y+10=6x > 8y-6x=-10
8y-4x=-12 > 8y-4x=-12
Solution:
Subtract above both equations:
we get:
-2x=+2
x=-1

put x's value in eq. 2 that is 8y-4x=-12
so we get:
8y-4x=-12
8y-4(-1)=-12
8y+4=-12
8y=-12-4
8y=-16
y=-16/8
y=-2
so we get the values x=-1 and y=-2

Answer 13

so i add them no?

Answer 14

Subtract them from each other.

8y+10=6x
-
8y+12=4x
---------

Answer 15

thanks @Imtiaz7 but i want to know how to do it step by step

Answer 16

-2=2x

Answer 17

So subtract them from each other.
8y+10=6x
-
8y+12=4x
---------
0x - 2 = 2x

-2=2x

x=?

Answer 18

x=-1

Answer 19

yup!

Answer 20

so i put this with the other equation

Answer 21

Plug -1 in instead of x, into any of the equations to solve for y.

Answer 22

Yes, GREAT!

Answer 23

y=-2

Answer 24

ok i want to tell the steps that we first look out these two equation they were solve by adding or substraction or by substitution so here is 8y in both equations and also they are positive so we subtracted both equation to remove the one veriable to get the value of other so 8y are cancelled and soling these we get the value of x, by substituting the x's value in any one of these two eq. we got the value of y.
this is all that i did for u

Answer 25

thank you guys

Answer 26

ok(thank you guys)...

Answer 27

YUP!

Answer 28

Anytime!

Answer 29

@SolomonZelman

Answer 30

If you want to ask a new question, please open a new thread.

Answer 31

no its about the same question

Answer 32

Oh, OK, go.

Answer 33

So you had
x=-1
y=-2

And I see you followed the steps.

Answer 34

what would be the resulting equation if we eliminate the y variable?

Answer 35

8y+10=6x
-
8y+12=4x
----------
0y -2=2y

-2=2y

Answer 36

but wouldnt it end up being y=(answer)

Answer 37

well, y is a part of the answer, you are looking for x and y.

Answer 38

it would certainly lead to finding y, if you divide both sides by -2.