Question

Pro

Which ordered pair is a solution of the equation?
Pro
y = 8x+3
Tea
Choose 1 answer:

Answer 1

Prior to the given equation, there are two resulting solutions; (1, 11) and (-1, -5).

Lets go over the solutions.

Let's start with (1, 11). After substituting x = 1 and y = 11, it results in the equation 11 = 11, which is a true statement. Hence, this is one solution.

Now, let's look at (-1 -5). After substituting x = -1 and y = -5, it results in the equation -5 = -5, which is also a true statement. So, this being said, (-1, -5) would also be a solution.

Hence, our two solutions are:

Both
`(1, 11)` and
`(-1, -5)`.

Hope this helps!

Answer 2

C. Both (1, 11) and (-1, -5)

Explanation:

The missing options are:

A. Only (1, 11)

B. Only (-1, -5)

C. Both (1, 11) and (-1, -5)

D. Neither

To check if an ordered pair is a solution of an equation, replace one variable into the equation an calculate the other one.

Replacing x = 1, we get:

y = 8(1) + 3

y = 11

then (1, 11) is a solution

Replacing x = -1, we get:

y = 8(-1) + 3

y = -5

then (-1, -5) is a solution