Question

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)

Answer 1

2) B)
`(7, 10,5)`

1) D)
`(8, -1)`

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

`x = 7` [Plug this back into both equations above to get the y-coordinate of 10,5];
`10(1)/(2) = y`

* 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

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

I am joyous to assist you anytime.