Which ordered pair is a solution of the equation, y = -5x + 4?
a) 2,14
b) 5,-29
c) 3,-19
d) 5,-21

ANSWER:

The ordered pair (5,-21) is a solution to equation y = -5x + 4

SOLUTION:  

For this question, we need to go for option checking.

Given, Linear equation is y = -5x + 4      ----- eqn (1)

Now, Consider option A:

put x = 2 and y = 14 in eqn (1)

y = -5x + 4  

14 = -5(2) + 4

14 = -10 + 4

14 -6

L.H.S R.H.S

Hence option A is not correct.

Now, Consider option B:  

put x = 5 and y = -29 in eqn (1)

y = -5x + 4    

-29 = -5(5) + 4

-29 = -25 + 4

-29 -21

L.H.S R.H.S

Hence option B is not correct.

Now, Consider option C:  put x = 3 and y = -19 in (1)

y = -5x + 4    

-19 = -5(3) + 4

-19 = -15 + 4

-19 -11

L.H.S R.H.S

Hence option C is not correct.

Now, Consider option D:

put x = 5 and y = -21 in (1)

y = -5x + 4    

-21 = -5(5) + 4

-21 = -25 + 4

-21 = -21

L.H.S = R.H.S

Hence option D is correct.

The ordered pair (5,-21) is a solution to equation y = -5x + 4.