Questions: Lines and Functions Identifying solutions to a linear equation in two variables For each ordered pair, determine whether it is a solution to (x=-9). ((x, y)) Is it a solution? ------ ((0,6)) ◯ ◯ ((-7,1)) ◯ ◯ ((4,-9)) ◯ ◯ ((-9,-3)) ◯ ◯

Lines and Functions Identifying solutions to a linear equation in two variables For each ordered pair, determine whether it is a solution to (x=-9). ((x, y)) Is it a solution? ------ ((0,6)) ◯ ◯ ((-7,1)) ◯ ◯ ((4,-9)) ◯ ◯ ((-9,-3)) ◯ ◯
Transcript text: Lines and Functions Identifying solutions to a linear equation in two variables For each ordered pair, determine whether it is a solution to $x=-9$. \begin{tabular}{|c|c|c|} \hline \multirow{2}{*}{$(x, y)$} & \multicolumn{2}{|c|}{ Is it a solution? } \\ \cline { 2 - 3 }$(0,6)$ & $\bigcirc$ & $\bigcirc$ \\ \hline$(-7,1)$ & $\bigcirc$ & $\bigcirc$ \\ \hline$(4,-9)$ & $\bigcirc$ & $\bigcirc$ \\ \hline$(-9,-3)$ & $\bigcirc$ & $\bigcirc$ \\ \hline \end{tabular}
failed

Solution

failed
failed

Solution Steps

To determine whether each ordered pair \((x, y)\) is a solution to the equation \(x = -9\), we need to check if the \(x\)-coordinate of each pair is equal to \(-9\). If it is, then the pair is a solution; otherwise, it is not.

Step 1: Identify the Equation

The given equation is \(x = -9\).

Step 2: Evaluate Each Ordered Pair

We need to check if the \(x\)-coordinate of each ordered pair is equal to \(-9\).

Step 3: Check Each Pair

  1. For \((0, 6)\):

    • \(x = 0\)
    • \(0 \neq -9\)
    • Therefore, \((0, 6)\) is not a solution.

  2. For \((-7, 1)\):

    • \(x = -7\)
    • \(-7 \neq -9\)
    • Therefore, \((-7, 1)\) is not a solution.

  3. For \((4, -9)\):

    • \(x = 4\)
    • \(4 \neq -9\)
    • Therefore, \((4, -9)\) is not a solution.

  4. For \((-9, -3)\):

    • \(x = -9\)
    • \(-9 = -9\)
    • Therefore, \((-9, -3)\) is a solution.

Final Answer

\[ \begin{array}{|c|c|} \hline (x, y) & \text{Is it a solution?} \\ \hline (0, 6) & \boxed{\text{False}} \\ \hline (-7, 1) & \boxed{\text{False}} \\ \hline (4, -9) & \boxed{\text{False}} \\ \hline (-9, -3) & \boxed{\text{True}} \\ \hline \end{array} \]

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
55 of 119 Concepts completed Multiple Choice Question Which of the following terms refers to common arrangements of atoms that give organic molecules their unique properties? Chain groups Functional groups Backbone groups Accessory groups Need help? Review these concept resources.
failedAnswered
Find the volume of the solid with the given base and cross sections. The base is the circle x^2 + y^2 = 16, and the cross sections perpendicular to the x-axis are triangles whose height and base are equal.
failedAnswered
A colony of bacteria has a total weight which varies according to (w(t)=15.5 e^0.5 t) (weight in Newtons, time in hours). Find the average weight of the colony over the interval [1, 5]. (Round your answer to two decimal places.) Find a value (c) in ([1,5]) such that (w(c)) attains this average. (Round your answer to two decimal places.) c=3.32
failedAnswered
Find the volume of this rectangular pyramid. Be sure to include the correct unit in your answer.
failedAnswered
Part B Enter the symbol of a sodium ion, Na+, followed by the formula of a sulfate ion, SO4 2-. Separate the ions with a comma only - spaces are not allowed. Express your answers as ions separated by a comma. Part C Enter the expression 14 7 N+α, where α is the lowercase Greek letter alpha. Express your answer as a chemical expression.