Question

What is the value of the y variable in the solution to the following system of equations?
3x + 2y = 6
2x + 3y = −6

6

−3

3

−6

Answer 1

Hmm,

3x + 2y = 6
2x + 3y = −6

I'm just going to use substitution as it seems easier.

3x + 2y = 6
-3x -3x

2y = -3x + 6
/2 /2 /2

y = -3/2x + 3

2x + 3(-1.5 + 3) = −6

2x -4.5 + 9 = -6

2x + 4.5 = -6
-4.5 -4.5

2x = -10.5
/2 /2

x = -5.25

Plug in -5.25 for x and solve for y

Answer 2

-6?@tHe_FiZiCx99

Answer 3

A) 3x + 2y = 6
B) 2x + 3y = −6

Multiply Equation A by -1.5
A) -4.5x - 3y = -9 then add to B
B) 2x + 3y = −6

-1.5x = -15
x = 6
A) 3•6 + 2y = 6
18 + 2y = 6
2y = -12
y = -6

Answer 4

Yes, -6

Answer 5

Thanks @tHe_FiZiCx99 and @wolf1728 !!!

Answer 6

u r welcome :-)

Answer 7

I see I actually made a typo in my process, but yes overall I did it again on paper and it is -6 :)