1 - which ordered pair is the solution of the equation y=x-4 A - (2,6) B - (6,2) C - (-2,6) D - (-6,2) 2 - which ordered pair is a solution of the equation y=5x A - (-2,10) B - (-5,25) C - (-3,15) D - (-2,-10) 3 - which ordered pair is a solution of the inequality y = -9x + 4 A - (10,-86) B - (-4,-58) C - (6,-41) D - (-6,57)

Mathematics · College · Tue Nov 03 2020

Answered on

1  for finding which ordered pair is the solution of the equation y=x-4   we know that if the points (x, y) are ordered pairs of the equation they should satisfy the given equation.

 For A ) (2,6) putting the value of x in a given equation if it's satisfied then this point is an ordered pair of the equation.

y=x-4

6=2-4 =-2 not satisfy 

B ) (6,2),y=x-4

2= 6-4=2 satisfy 

C ) (-2,6), y=x-4

6=-2-4 =-6 not satisfy 

 D - (-6,2),y=x-4

2=-6-4 =-10 does not satisfy the answer to this question is option number (B).

 2 ) for finding which ordered pair is a solution of the equation y=5x we apply the same concept we used in the question number(1) 

A - (-2,10),y=5x

10=5*(-2) =-10 not satisfy 

B - (-5,25),y=5x

25=5*(-5) =-25not satisfy 

 C - (-3,15) ,y=5x

15=5*(-3) =-15 not satisfy 

D - (-2,-10),y=5x

-10=5*(-2) =-10 is satisfied so the  answer is an option (D) 

3 - for finding which ordered pair is a solution of the inequality y = -9x + 4 we apply the same concept we used in question number(1) 

A  (10,-86) , y=-9x+4

-86=-9*10+4=-86 is satisfy 

B  (-4,-58),y=-9x+4

-58=-9*(-4)+4=40 not satisfy 

C (6,-41),y=-9x+4

-41=-9*6+4=-50 not satisfy 

D (-6,57),y=-9x+4

-86=-9*(-6)+4=58 not satisfied so the answer is an option (A).