solve using elimination: -x + y = -12 & x+y = -6. what's the solution set?

Question

Pls answer ASaP. Tnx!!!

Answer 1

Using the same principle as I demonstrated in my answer to your previous question, see what operation will eliminate ONE of the variables (addition, subtraction &c). You will never understand the principle unless you actually practice and do it yourself. If you don't do this, you will be lost when it comes to an exam!

Answer 2

you need to use substitution. So watch x+y = 4 x+y = 8 so which you're taking the 1st equation and resolve to a variable, i will resolve for x x+y=4, subtract the y x=4-y Now take that equation that we solved and put in 2nd equations provided that all of us be responsive to what x equals. So (4-y)-y=8 I substituted the x interior the 2nd equation with the x we created interior the 1st equation. Now you purely resolve for y (4-y)-y=8 4-2y = 8 -2y=4 y=-2 Now plug the Y decrease back into the two equations and you're able to get the x cost. x + (-2) = 4 x-2 = 4 x = 6 So X = 6 Y = -2

Answer 3

solution:
Since
equation (1) -x +y = -12
equation (2) x +y = -6
in elemination method:
-x +y = -12
x +y = -6
__________
2y /2= -18/2
y = -9
Since elimination method both x value was cancelled and add the y variable, then it devide it to 2 for tyhe value of y which is -9. Then for the value of x we can substitute the value of y in either equation 1 or 2 for the value of x.

equation 1. -x + y = -12
-x + (-9) = -12
-x = -12 + 9
-x/-1 = -3/-1
x = 3
equation 2. x + y = -6
x + (-9 )= -6
x= -6 +9
x = 3
using transmutation process x value was derived manually. As we checked the value the solution set of x, y was 3, -9.

Answer 4

To solve these kinds of equations where you have two equations and two unknowns, add both sides of the equation together to eliminate one of the variables. Adding the left side we get (-x+y)+(x+y)=2y (Remember that -x+x=0). Adding the two terms on the right side yields -12+(-6)=(-18) So 2y=-18 or y=-9. Now substitute this value for y into either of your equations to solve for x. Try the first equation. You get -x+(-9)=-12. Add 9 to both sides gives -x=-3 or x=3. To check if this is right , substitue y=-9 into the second equation and see if you get x=3. I'll let you try that . The solution set is x=3, y=-9.

Answer 5

x= 3 while y =9

Answer 6

-x + y = - 12
x + y = - 6

2y = - 18

2y/2 = - 18/2

y = - 9

The solution set is { - 9 }

Insert the y value into the equation

- - - - - - - - - - - - - - - - - - -

Solving for x

x + y = -6

x + (- 9) = - 6

x - 9 = - 6

x - 9 + 9 = - 6 + 9

x = 3

The solution set is { 3 }

Insert the x value into the equation

- - - - - - - - - - - - - - - - - - - - - - - - - - - -

Check

-x + y = - 12

-(3) + (- 9) = - 12

- 3 - 9 = -12

- 12 = - 12

- - - - - - - - - - - - - - - - - - - - - - - - -

x + y = - 6

3 + (-9) = -6

3 - 9 = - 6

- 6 = - 6

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

The answer is:

x = 3

Y = - 9

- - - - - - - - - - - - - - - - - - - - - - - - -

The solution set is { 3, - 9}

Answer 7

Don't look at this problem as one HUGE problem, take it one step at a time.
solve for one variable in one equation then go from there.
Take:
-x+y=-12
-x=-12-y now you have to get the negative away from the x to make it a true solved equation and change all the signs while you are at it
x=12+y
Now that you know what x= just plug it in for the OTHER equation and solve for y to get your answer for what y actually is
(12+y)+y=-6
12+2y=-6
2y=-18
y=-9
Then plug y into your FIRST equation to get an ACTUAL number for x
-x+(-9)=-12
-x=-12+9
-x=-3
x=3
So the answer is x=3, and y=-9

Answer 8

A: -x+y=-12
B: x+y=-6

A+B: -x+y+x+y=-12-6
2y=-18
y=-9
B: x-9=-6
x=-6+9
x=3

solution: x=3, y=-9

Answer 9

x=3
y=-9

just add the two groups (-x + y) + (x + y) = (-12) + (-6). You'll notice that the Xs become zero leaving you with only the Y term. Once you get the value of Y you can replace the Y in the equation to get X.

Answer 10

-x + y = -12
x + y = -6
add the two equations
-x +x +y +y = -18
simplify
2y = -18
y = -9
substitute and solve for x
x + (-9) = -6
x = 3