Questions: Complete the table for the equation (2 x-3 y=6), and graph the equation. (x) (y) ------ 0 -2 3 0 6 2 (square) -4

Complete the table for the equation (2 x-3 y=6), and graph the equation. (x) (y) ------ 0 -2 3 0 6 2 (square) -4
Transcript text: Complete the table for the equation $2 x-3 y=6$, and graph the equation. \begin{tabular}{|c|c|} \hline$x$ & $y$ \\ \hline 0 & -2 \\ \hline 3 & 0 \\ \hline 6 & 2 \\ \hline$\square$ & -4 \\ \hline \end{tabular}
failed

Solution

failed
failed

Solution Steps

Step 1: Solve for the missing value in the table

Given the equation \(2x - 3y = 6\), we need to find the value of \(x\) when \(y = -4\).

\[ 2x - 3(-4) = 6 \]

\[ 2x + 12 = 6 \]

\[ 2x = 6 - 12 \]

\[ 2x = -6 \]

\[ x = -3 \]

Step 2: Summarize the table

The completed table is:

\[ \begin{array}{|c|c|} \hline x & y \\ \hline 0 & -2 \\ \hline 3 & 0 \\ \hline 6 & 2 \\ \hline -3 & -4 \\ \hline \end{array} \]

Final Answer

The missing value in the table is \(x = -3\).

{"axisType": 3, "coordSystem": {"xmin": -5, "xmax": 7, "ymin": -5, "ymax": 5}, "commands": ["y = (2/3)x - 2"], "latex_expressions": ["$2x - 3y = 6$"]}

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
3.12 Mastery Check Schoolo Class Score Detail mpck12plus.schoology.com/assignment/7571672267/assessment Question 1 (1 point) Light of wavelength 5.0 x 10^-7 meters consists of photons have an energy of a. 1.7 x 10^-5 J b. 1.3 x 10^-27 J c. 1.1 x 10^-40 J d. 4.0 x 10^-19 J Question 2 (1 point) Which characteristic of electromagnetic radiation is directly proportional to the energy of a photon? a. path b. period c. frequency d. wavelength Question 3 (1 point)
failedAnswered
Multiple Choice Question What name is given to an atom or group of atoms within a molecule that is largely responsible for the properties and reactivity of the molecule? Polyatomic group Functional group Reactive group Organic group
failedAnswered
Some countries regulate how much organizations can charge for certain goods and services. These regulations are: trademark laws. price floors and ceilings. privacy laws. licensing laws. Next - Previous
failedAnswered
Production is the process where a business takes raw materials and processes them or converts them into a finished product for its goods or services. Ensuring that the input, process, and output of goods and services work across all of the departments of a company is where systems add tremendous value to overall business productivity. The goal of this activity is for you to identify the elements in a production process. Instructions: Match each element of the production process to its correct descriptor. Input 2 Process 3 Output Match each of the options above to the items below Lettuce, tomatoes, patty, bun, ketchup Cook the patty, put the ingredients together Hamburger
failedAnswered
Let K be the set of real numbers less than seventeen.