Question

Which statements about this system of equations are true? Check all that apply. Negative x + 6 y = 16. 8 x minus 6 y = negative 2. The x-variable will be eliminated when adding the system of equations. The y-variable will be eliminated when adding the system of equations. The sum of the system of equations is Negative 8 x = 14. X = 2 y = 3 There is only one solution to the system of equations.

Answer 1

Answer:

The y-variable will be eliminated when adding the system of equations.

There is only one solution to the system of equations.

Step-by-step explanation:

-x + 6y = 16 (1)

8x - 6y = -2 (2)

Add the equations to eliminate y

-x + 8x = 16 +(-2)

7x = 16 -2

7x = 14

x = 14/7

x = 2

Substitute x = 2 into (1)

-x + 6y = 16 (1)

-2 + 6y = 16

6y = 16 + 2

6y = 18

y = 18/6

y = 3

(x, y) = (2, 3)