Which ordered pair is a solution of the equation? -3x-y=6 Choose 1 answer: (A) Only (-4,4) (B) Only (-3,3) (C) Both (-4,4) and (-3,3) (D) Neither

Problem Understanding: Understand the problem. We need to determine which ordered pair(s) satisfy the equation -3x-y=6. To do this, we will substitute the x and y values from each ordered pair into the equation and check if the equation holds true.Testing Ordered Pair (-4,4): Test the first ordered pair (-4,4). Substitute x = -4 and y = 4 into the equation -3x-y=6 and see if the left side equals the right side. -3(-4) - 4 = 6 12 - 4 = 6 8 = 6 This is not true, so (-4,4) is not a solution to the equation.Testing Ordered Pair (-3,3): Test the second ordered pair (-3,3). Substitute x = -3 and y = 3 into the equation -3x-y=6 and see if the left side equals the right side. -3(-3) - 3 = 6 9 - 3 = 6 6 = 6 This is true, so (-3,3) is a solution to the equation.

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Algebra 1

Does (x, y) satisfy the linear equation?

Full solution

Q. Which ordered pair is a solution of the equation?

\newline

-3x-y=6

\newline

Choose

1

answer:

\newline

(A) Only

(-4,4)

\newline

(B) Only

(-3,3)

\newline

(-4,4)

and

(-3,3)

\newline

(D) Neither

Problem Understanding: Understand the problem. $\newline$ We need to determine which ordered pair(s) satisfy the equation $-3x-y=6＂). To do this, we will substitute the \$x$ and $y$ values from each ordered pair into the equation and check if the equation holds true.
Testing Ordered Pair $(-4,4)$ : Test the first ordered pair $(-4,4)$ . $\newline$ Substitute $x = -4$ and $y = 4$ into the equation $-3x-y=6$ and see if the left side equals the right side. $\newline$ $-3(-4) - 4 = 6$ $\newline$ $12 - 4 = 6$ $\newline$ $8 = 6$ $\newline$ This is not true, so $(-4,4)$ is not a solution to the equation.
Testing Ordered Pair $(-3,3)$ : Test the second ordered pair $(-3,3)$ . $\newline$ Substitute $x = -3$ and $y = 3$ into the equation $-3x-y=6$ and see if the left side equals the right side. $\newline$ $-3(-3) - 3 = 6$ $\newline$ $9 - 3 = 6$ $\newline$ $6 = 6$ $\newline$ This is true, so $(-3,3)$ is a solution to the equation.