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melamori03 [73]
2 years ago
14

HELP ME FIND X AND Y: 2x = 4y + 6 and 3x - y = -1

Mathematics
2 answers:
Naddika [18.5K]2 years ago
8 0

Answer:

x = -1

y = -2

Step-by-step explanation:

To get y by itself:

3x - y = -1

-y = -1 - 3x

y = 1 + 3x

Solve for x with substitution:

2x = 4(1 + 3x) + 6

2x = 4 + 12x + 6

2x = 10 + 12x

-10x = 10

x = -1

Plug the x value into 3x - y = -1

3(-1) - y = -1

-3 - y = -1

-y = 2

y = -2

WITCHER [35]2 years ago
4 0

Answer:

x = -1 and y = -2

Step-by-step explanation:

2x = 4y +6

x = 2y + 3

3(2y+3) - y = -1

6y+9 - y = -1

6y - y = -10

5y = -10

y = -2

2x = 4(-2) + 6

2x = -8 + 6

x = -4 + 3

x = -1

I hope this helps!

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7 0
3 years ago
Solving by elimination <br> -6x+6y=6 -6x+3y=-12
labwork [276]
So elimination method is basically adding the equations and canceling out variables. 
-6x + 6y = 6
-6x + 3y = -12
The eaiest way to solve is by multiplying the bottom equation by -1.
-6x + 6y = 6
 6x - 3y = 12
Now you add the eqautions.
3y = 18
Divde 3 from both sides.
y = 6
Now plug in 6 into any of the original two equations. Lets use the first one.
-6x + 6(6) = 6
-6x + 36 = 6
Subtract 36 from both sides.
-6x = -30
Divide -6 from both sides.
x = 5
So your solution is (5, 6).
I hope this helps love! :)
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