Question

Select all the equations for which (-6, -1) is a solution.

A. y = 4x+23
B. 3x = 1/2y
C. 2x - 13y=1
D. 3y = 1/2x
E. 2x + 6y= -6

Answer 1

A, C , D

Explanation:

substitute the coordinates, that is x = - 6 and y = - 1 into the equations and if both sides are equal then the point (- 6, - 1 ) is a solution.

A

left side = y = - 1

right side = 4x + 23 = 4(- 6) + 23 = - 24 + 23 = - 1

then (- 6, - 1 ) is a solution

B

left side = 3x = 3(- 6) = - 18

right side =
`(1)/(2)` y =
`(1)/(2)` (- 1) = -
`(1)/(2)`

then (- 6, - 1 ) is not a solution

C

left side = 2x - 13y = 2(- 6) - 13(- 1) =- 12 + 13 = 1 = right side

then (- 6, - 1 ) is a solution

D

left side = 3y = 3(- 1) = - 3

right side =
`(1)/(2)` x =
`(1)/(2)` (- 6) = - 3

then (- 6, - 1 ) is a solution

E

left side = 2x + 6y = 2(- 6) + 6(- 1) = - 12 - 6 = - 18 ≠ right side

then (- 6, - 1 ) is not a solution