Question

What is the solution to the system of equations? 2x+4t=12

Y=1/4x-3

A.(-1,8)
B.(0.5,5)
C.(8,-1)
D.(5,0.5)

Answer 1

C.
`(8, -1)`

Explanation:

{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.