Question

The solution to the system is (6,2). Select all the equations that could be the other equation in the system.

A. y=-3x
B. Y=-3/2x+6
C. Y=-1/6x+3
D. Y=2/3x-1
E. Y=1/2x-1
F. Y=4x-2

Answer 1

C and E are correct

Explanation:

We simply substitute the value of x to see if we can get y for each of the equations

A. y = -3x

2 is not -3(6)

This is wrong

B. y = -3/2x + 6

-3/2x + 6 = -3/12 + 6

This cannot be equal to 2 so this is wrong also

c. y = -1/6x + 3

y = -1/6(6) + 3

= -1 + 3 = 2

This is correct

d. y = 2/3x - 1

This is wrong

2/3(6) - 1 cannot be 2

e. y = 1/2x - 1

2 = 1/2(6) -1

This is correct

F. y = 4(6) - 2 = 24-2 = 22