Question

( Will give 20 points! )Which ordered pair is a solution to the equation y = –3x – 5? A. (0, 0) B. (–1, 8) C. (1, –2) D. (1,-8)

Answer 1

Answer:

D

Step-by-step explanation:

to find which ordered pair is a solution to the equation.

substitute the x- coordinate into the right side of the equation and if the value obtained is equal to the y- coordinate then the ordered pair is a solution.

A (0, 0 )

y = - 3(0) - 5 = 0 - 5 = - 5 ≠ 0 ← not a solution

B (- 1, 8 )

y = - 3(- 1) - 5 = 3 - 5 = - 2 ≠ 8 ← not a solution

C (1, - 2 )

y = - 3(1) - 5 = - 3 - 5 = - 8 ≠ - 2 ← not a solution

D (1, - 8 )

y = - 3(1) - 5 = - 3 - 5 = - 8 ← solution

then (1, - 8 ) is a solution to the equation

Answer 2

Answer:

D. (1, -8)

Step-by-step explanation:

Given: y = -3x - 5

Using substitution, we can substitute the given value of coordinates into the equation to see which coordinate makes a true statement.

A. (0, 0)

0 = -3(0) - 5

0 = -5

This is a false statement.

B. (-1, 8)

8 = -3(-1) - 5

8 = 3 - 5

8 = -2

This is a false statement.

C. (1, -2)

-2 = -3(1) - 5

-2 = -3 - 5

-2 = -8

This is a false statement.

D. (1, -8)

-8 = -3(1) - 5

-8 = -3 - 5

-8 = -8

This is a true statement.

Therefore, the correct answer is D.

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