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 [tex]\neq[/tex] -6
L.H.S [tex]\neq[/tex] 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 [tex]\neq[/tex] -21
L.H.S [tex]\neq[/tex] 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 [tex]\neq[/tex] -11
L.H.S [tex]\neq[/tex] 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.
