Question

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 1

D

Explanation:

( 5,-21)

y = -5x + 4

-21= -5(5) +4

-25 + 4

-21= -21

Hope this helped!

Answer 2

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
`\\eq` -6

L.H.S
`\\eq` 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
`\\eq` -21

L.H.S
`\\eq` 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
`\\eq` -11

L.H.S
`\\eq` 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.