Question

Which of the following coordinates represent a solution to the equation y=−2x+7 ? Select all that apply. Multiple select question. cross out A) (0, 0) cross out B) (3, 1) cross out C) (–5, 17) cross out D) (9, –11) cross out E) (–8, –9)

Answer 1

Given : y=−2x+7

To Find : Which of the following coordinates represent  solutions to the equation y=−2x+7

A) (0 , 0)

B)    (3, 1)

C)  (–5, 17)

D)  (9, –11)

 E) (–8, –9)

Solution:

Solution of the equation satisfy the equation

y=−2x+7

(0 , 0)  Substitute x= 0 and y = 0

=> 0  = 7

Not True

(3 , 1)  Substitute x= 3 and y = 1

=> 1 = -2(3) + 7

=> 1 = 1

 True

Hence ( 3 ,1 )  is one of the solution

(-5 , 17)  Substitute x= -5 and y = 17

=> 17 = -2(-5) + 7

=> 17 = 17

 True

Hence ( -5 ,17 )  is one of the solution  

(9 , -11)  Substitute x= 9 and y = -11

=> -11 = -2(9) + 7

=> -11 = -11

 True

Hence ( 9 ,-11 )  is one of the solution

(-8 , -9)  Substitute x= -8 and y =-8

=>-8 = -2(-8) + 7

=>-8 = 23

Not True

So Solutions are :

( 3 ,1 ) ,  ( -5 ,17 )  and ( 9 ,-11 )

Correct options  B. C and D

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