hellllllllp!! Solve by the elimination method.?

Question

Solve by the elimination method.
6x + 6y= 36
2x - 6y= -60
What is the solution of the system?______
(type and ordered pair)

Answer 1

6x+6y=36
2x-6y=-60
adding both the equations
6x+6y=36
2x-6y=-60
---------------
8x =-24
x=-3
substituting in1 equation
6*-3+6y=36
-18+6y=36
6y=36+18
6y=54
y=9
therefore the solution is (-3,9)


if you think sometimes your answer is wrong just verify your answer by substituting the x and y values in the first or the second equation.
6*-3+6*9=36
-18+54=36
36=36
therefore LHS =RHS

Answer 2

Add both equations together. You'll see that the "6y" terms cancel out. In fact, you're left with:

8x = -24
x = -3

Then, take either equation (doesn't matter which) and plug x = -3 in and solve for y:
6(-3) + 6y = 36
-18 + 6y = 36
6y = 54
y = 9

The solution is (x,y) = (-3, 9).

Plug these numbers back into both equations to ensure that you have the right answer.
6(-3) + 6(9) = -18 + 54 = 36
2(-3) - 6(9) = -6 - 54 = -60

Answer 3

Since the y terms are opposites, the first step is easy. Just add the two equations together:

(6x + 6y) + (2x - 6y) = 36 + (-60)
8x = -24
x = -3

==========
Now go back to the original equations. We want to add the two x terms together to get them to cancel out. In order to do that, we need to multiply the second equation by (-3).

(-3)(2x - 6y = -60)
becomes
-6x + 18y = 180

Now, add the two equations together.

(6x + 6y) + (-6x + 18y) = 36 + 180
24y = 216
y = 9
==================
So the solution is (-3, 9)

=========
NOTE: Once you found x = -3, you can use substitution to find y. I used elimination both times to show you how to do elimination.

Answer 4

6x + 6y= 36 let call 1
2x - 6y= -60 let call 2
8x = -24
x = -3

sub x = -3 into 1
6x + 6y= 36
6( -3)+ 6y= 36
-18 + 6y= 36
6y= 36 + 18
6y= 54
y=9

The answer is
x= -3
y=9

Answer 5

Adding gives:-
8x = - 24
x = - 3

-18 + 6y = 36
6y = 54
y = 9

x = - 3 , y = 9

Answer 6

function1: 6x + 6y= 36
function2: 2x - 6y= -60

f1+f2:

8x=-24
x=-3

plug back into any of the 2 eqns
2(-3) - 6y = 60
-6-6y=60
-6(1+y)=60
1+y=-10
y=-11

answer: (-3,-11)

Answer 7

8x+7y=32 __(1) -6x+3y=-24 ___(2) [multiply (1) by 3 and (2) by 4] 24x + 21y = 96 __(3) -24x + 12y = -96 __(4) [add (3) and (4)] 33y = 0 y = 0 [from (1)] 8x + 7(0) = 32 8x = 32 x = 32/8 x = 4 so (x,y) = (4,0) ANS. (a)

Answer 8

after elim;
6x+2x=36-60
8x=-24
x= -24/8
x= -3

Answer 9

Add both.
8x = -24
x = -3
y = 9