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.

Answer 1

Explanation:

The given equations are :

-x+6y = 16 ...(1)

8x-6y = -2 ...(2)

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

Adding equations (1) and (2).

-x+6y+8x-6y = 16+(-2)

7x = 14

x = 2

Put the value of x in equation (1).

-2+6y = 16

6y = 16+2

y = 3

There is only one solution to the system of equations i.e. (2,3).