HELP me. I will give 100 point!
1) What is the solution to the system of equations?
2x+4y=122 x + 4 y = 12
y=1/4x-3y = 1 4 x − 3
A)(0.5, 5)
B)(5, 0.5)
C)(-1, 8)
D)(8, -1)

2) What is the solution to the system of equations?
y=2x-3.5y = 2 x − 3.5
x-2y=-14
A)(7, 10.5)
B)(3.5, -7)
C)(10.5, 7)
D)(-7, 3.5)


Respuesta :

Answer:

2) B) [tex](7, 10,5)[/tex]

1) D) [tex](8, -1)[/tex]

Step-by-step explanation:

{y = 2x - 3,5

{x -2y = −14

x - 2[2x - 3,5] = −14

x - 4x + 7 = −14

−3x + 7 = −14

- 7 - 7

__________

−3x = −21

___ ___

−3 −3

[tex]x = 7[/tex] [Plug this back into both equations above to get the y-coordinate of 10,5]; [tex]10\frac{1}{2} = y[/tex]

* 10½ = 10,5

_______________________________________________

{y = ¼x - 3

{2x + 4y = 12

2x + 4[¼x - 3] = 12

2x + x - 12 = 12

3x - 12 = 12

+ 12 + 12

_________

3x = 24

__ __

3 3

[tex]x = 8[/tex] [Plug this back into both equations above to get the y-coordinate of −1]; [tex]-1 = y[/tex]

I am joyous to assist you anytime.

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