Question

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

3x − 6y = 3
7x − 5y = −11

−2

−3

x can be any number as there are infinitely many solutions to the system.

There is no x value as there is no solution to the system

Answer 1

15x-30y=15
42x-30y=-66

Now, -30y=-66+42x
So 15x-66+42x =15
57x-66=15
57x=15+66=81
57x=81
x=81/57

Now,
15(81/57)-30y=15,
solve for y

Answer 2

It's probably easier though if you make the x values equal

Answer 3

so
21x-42y=21
21x-15y=-33

Answer 4

okay

Answer 5

im really not good at eliminating

Answer 6

21x-42y=21
21x-15y=-33

Solve for y:

21x = -33+15y

So,

-33+15y-42y=21

Solve for y

Answer 7

would i add 33 to both sides?

Answer 8

Yes

Answer 9

sorry, 27y =54

Answer 10

divide both by 27

Answer 11

yes

Answer 12

it is two but the only answer for it is -2

Answer 13

its -27y=54

Answer 14

15y-42y=-27y

Answer 15

-33+15y-42y=21

Solve for y

becomes:

-27y = 54
y=-2

Answer 16

does that make sense?

Answer 17

yes

Answer 18

thank you

Answer 19

your welcome,
good luck