Question

PLLLLLZZZZZ HEEELLLLPPPPP 20 POINTS TO BRAINLIEST
Which ordered pairs are on the line ​ 3x−4y=93x−4y=9 ​? Select each correct answer.

​ (−1,3)

​ (2/3,−7/4) ​

​ (−5,−6)

​ (1,−3/2) ​

Answer 1

The first thing you should do is verify that the ordered pairs satisfy equality. If so, then that pair ordered belongs to the line. Let us begin:
 3x-4y = 9

 (-1.3)
 3 (-1) -4 (3) = 9
 -3-12 = 9
 -15 = 9 (Does not belong)

 (2/3, -7 / 4)
 3 (2/3) -4 (-7/4) = 9
 6 + 28 = 9
 34 = 9 (Does not belong)

 (-5, -6)
 3 (-5) -4 (-6) = 9
 -15 + 24 = 9
 9 = 9 (Yes, it belongs)

 (1, -3 / 2)
 3 (1) -4 (-3/2) = 9
 3 + 6 = 9
 9 = 9 (Yes, it belongs)

 answer
 ordered pairs are
 (-5, -6)
 (1, -3 / 2)

Answer 2

For any given equation the points must satisfy the RHS and LHS Solution:- Hence to prove the equation 3x-4y=9; --1 1.Therefore sub (-1, 3 ) = (x,y ) ie x=-1 ; y=3 sub in 1 we get -3-12=-15 not equal to 9(RHS) it is not the req point. 2.Similarly sub (2/3,â’7/4 ) = (x,y ) ie x=2/3 ; y=â’7/4 sub in 1 we get 3(2/3)- 4(-7/4) = 2+7=9 is equal to 9 (RHS) hence it is the req point. 3. Similarly sub (â’5,â’6) = (x,y ) ie x=-5 ; y=â’6 sub in 1 we get 3 (-5) -4(-6) =-15 +24 = 9 is equal to 9 (RHS) hence it is the req point. 4.Similarly sub (1,â’3/2) ​ = (x,y ) ie x= 1; y=â’3/2 sub in 1 we get 3 (1) - 4(â’3/2) = 9 is equal to 9 (RHS) hence it is the req point. Ans : - The required points are (2/3,â’7/4) ​ ​ (â’5,â’6) ​ (1,â’3/2)