Question

which solution set represents all the solutions to the equation $2x + y = 10$?

Explanation:

Step1: Isolate the dependent variable

Rearrange the equation to solve for $y$ in terms of $x$.
$y = 10 - 2x$

Step2: Define the solution set

Since $x$ can be any real number, the solution set includes all ordered pairs where $y$ is determined by $10-2x$ for any real $x$.

Answer:

All ordered pairs $(x, 10-2x)$ where $x$ is a real number, or written as $\{(x, y) \in \mathbb{R}^2 \mid y = 10 - 2x\}$