6x+3y=-12 and 6x+2y=-4?

Question

help me solve this..it says "use elimination"

Answer 1

6x+3y = -12 - > 6x+3y = -12
6x+2y= - 4 - > -6x-2y = 4
+__________
0 + y = - 8
y = -8
6x+2y = -4
6x -16 = -4
6x=12
x=2

y=-8, x=2
hope this helped

Answer 2

6x+3y=-12 and 6x+2y=-4
Rewrite in standard quadratic form:
6x + 3y + 12 = 0
and
6x + 2y + 4 = 0
Subtract #2 from #1 to eliminate x:
y + 8 = 0
y = -8
Substitute in #1
6x + 3(-8) = -12
6x = 24 -12
6x = 12
x = 2
Proof: substitute x & y in #2:
6(2) + 2(-8) = -4
12 - 16 = -4
Left = right,

Answer 3

first you take the inverse equation of any of the two equations.. (multiply the whole equation by -1)...

6x + 3y = -12
(6x + 2y = -4)(-1)

6x + 3y = -12
-6x - 2y = 4
__________
y = - 8

substitute the value of y to any of the equation then solve for x

6x + 3(-8) = -12
6x - 24 = -12
6x = 12
x = 2

your values:
x = 2
y = -8

just substitute the values in both equation to check..

:)

Answer 4

solve for x in equation 1:
6x=-12-3y
x=-(12+3y)/6

subtitute value of x in equation 2
6x +2y=-4
6[(-12-3y)/6]+2y =-4
-12-3y + 2y=-4
-3y+2y=12-4
-y =8
y=-8 answer
solving for x:
6x +2(-8)=-4
6x-16=-4
6x=16-4
x=12/6
x=2 answer

Answer 5

Solve this system of equations by the subtraction method.

first change the signs of all terms in the second equation. It will now look like this:

-6x-2y=4

then stack the two equations and combine like terms.

6x+3y=-12
-6x-2y=4
--------------
0x+1y=-8

or simply, y=-8

now that you know the value of "y", you can plug that value back in to either of the equations to find the value of "x"

Answer 6

6x+3y=-12 and 6x+2y=-4
so subract:
(6x+3y) - (6x+2y ) = -12 +4
doing the arithmetic
y = -8
substituting y = -8
we have
6x + 3(-8) = -12
6x = -12 + 24
6 x = 12
x = 2

Answer 7

6x =-3y -12

-3y-12+2y =-4

-y=8

y = -8

6x = 12

x =2

Answer 8

write the equations with one under the other.
Subtract: which means change the signs of the bottom equation and add the two equations.

That will ELIMINATE the x terms

then combine what's left and get value of y

Substitute the value for y into either equation and get the value of x. Done.

You should become familiar with this procedure because you will need to use it frequently.

Answer 9

- 6x - 3y = 12
6x + 2y = - 4------ADD
- y = 8
y = - 8

6x - 16 = - 4
6x = 12
x = 2

x = 2 , y = - 8

Answer 10

y= -8 x= 2 , you just subtract the two equations and it comes out as y= -8