Question

Which ordered pair is a solution to the equation y=-3x-4A: Only (-2,4)B: Only (-3,5)C: Both (-2,4) and (-3,5)D: Neither

Answer 1

Answer:

B: Only (-3,5)

Explanation:

We test whether the ordered pairs given are the solution to the equation. We do this by putting their values into the equation and seeing whether they satisfy it.

Now, (-2, 4) says that when x = -2, y = 4, meaning it must be that

$\begin{gathered} y=-3(-2)-4 \\ y=6-4 \\ y=2 \end{gathered}$

we see that when x = -2 y is not 4; therefore, the ordered pair given is not a solution.

Now for (-3, 5) we put in x = -3 into the equation and get

$\begin{gathered} y=-3(-3)-4 \\ y=9-4 \\ y=5 \end{gathered}$

we see that when x = -3, y = 5, meaning that the ordered pair (-3, 5) satisfies the equation.

Therefore, the ordered pair is a solution and choice B is correct.