Question

for each ordered pair, determine whether it is a solution to x = -7.

(x, y)	is it a solution?
(-7, 2)	○	○
(5, 3)	○	○
(-7, -4)	○	○
(0, -7)	○	○

Explanation:

To determine if an ordered pair \((x, y)\) is a solution to \(x = -7\), we only need to check the \(x\)-value of the ordered pair. If the \(x\)-value is \(-7\), then it is a solution; otherwise, it is not.

Step 1: Analyze \((-7, 2)\)

The \(x\)-value is \(-7\), which matches the equation \(x = -7\). So, this ordered pair is a solution.

Step 2: Analyze \((5, 3)\)

The \(x\)-value is \(5\), which does not match \(x = -7\). So, this ordered pair is not a solution.

Step 3: Analyze \((-7, -4)\)

The \(x\)-value is \(-7\), which matches the equation \(x = -7\). So, this ordered pair is a solution.

Step 4: Analyze \((0, -7)\)

The \(x\)-value is \(0\), which does not match \(x = -7\). So, this ordered pair is not a solution.

Answer:

• For \((-7, 2)\): Yes
• For \((5, 3)\): No
• For \((-7, -4)\): Yes
• For \((0, -7)\): No

Filling in the table:

\((x, y)\)	Yes	No
\((5, 3)\)		\(\boldsymbol{\circ}\)
\((-7, -4)\)	\(\boldsymbol{\circ}\)
\((0, -7)\)		\(\boldsymbol{\circ}\)