Tao uses elimination to solve the following system of linear equations. -2x+4y=162x+2y=8Which ordered pair is a solution to the system?
a. (0, 4)
b. (0, 8)
c. (4, 0)
d. (8, 0)

Respuesta :

The correct answer is the first option.


If you want to use elimination, you can sum the two equations for example, so that the x's simplify:


[tex] (-2x+4y)+(2x+2y) = 16+8 [/tex]


[tex] 6y = 24 [/tex]


[tex] y = 4 [/tex]


Plug this value for y in one of the equations to derive the value of x:


[tex] 2x+2y=8 \implies 2x + 8 = 8 \implies x = 0 [/tex]


So, the solution is [tex] (x,y) = (0,4) [/tex]

Answer:

o n e or 1 or a

Step-by-step explanation: