Question

consider the equation and the following ordered pairs: \\((5, y)\\) and \\((x, 1)\\).

\\y = -2x + 7\\

step 1 of 2: compute the missing \\(x\\) and \\(y\\) values so that each ordered pair will satisfy the given equation.

answer
complete the table below.

\

$$\begin{tabular}{|c|c|c|} \\hline \\(x\\) & 5 & \\\\ \\hline \\(y\\) & & 1 \\\\ \\hline \\end{tabular}$$

Explanation:

Identify the given equation and ordered pairs

The given equation is:

$$y = -2x + 7$$

We need to find the missing values for the ordered pairs \((5, y)\) and \((x, 1)\) to complete the table.

Find the missing y-value for the first ordered pair

Using the Linear Equations in Two Variables and Evaluating Algebraic Expressions knowledge points, we substitute \(x = 5\) into the equation to find the corresponding \(y\)-value:

$$y = -2(5) + 7$$

$$y = -10 + 7$$

$$y = -3$$

So, the first completed ordered pair is \((5, -3)\).

Find the missing x-value for the second ordered pair

Using the Linear Equations in Two Variables and Solving Linear Equations knowledge points, we substitute \(y = 1\) into the equation to solve for \(x\):

$$1 = -2x + 7$$

Subtract 7 from both sides:

$$1 - 7 = -2x$$

$$-6 = -2x$$

Divide both sides by \(-2\):

$$x = \frac{-6}{-2}$$

$$x = 3$$

So, the second completed ordered pair is \((3, 1)\).

Answer:

Complete the table below.

\(x\)	\(y\)
<blank>3</blank>	1