1. The problem presents several expressions and a linear equation system: simplifying an expression, solving simple equations, and analyzing a linear equation. 2. Simplify the expression $3(x - 2)$ by distributing the 3: $$3(x - 2) = 3x - 6$$ 3. The equation $y = 2$ is already solved for $y$. 4. The expression $9 + 5 = 6$ is not true; $9 + 5 = 14$, so this is likely an incorrect or separate statement. 5. For the expressions $2x - 5$ and $2y - 3$, these are simplified linear expressions without equality; they remain as given. 6. The linear equation $3x - 4y = 1$ can be analyzed: - To find the $y$-intercept, set $x=0$: $$3(0) - 4y = 1 \Rightarrow -4y = 1 \Rightarrow y = -\frac{1}{4}$$ - To find the $x$-intercept, set $y=0$: $$3x - 4(0) = 1 \Rightarrow 3x = 1 \Rightarrow x = \frac{1}{3}$$ 7. The shaded polygon on the coordinate plane bounded by points approximately at $(3, 2)$, $(1, 3)$, $(3, 6)$, and $(6, 3)$ suggests it is a quadrilateral formed by the intersections of linear constraints. Final simplified form and intercepts of the linear equation: - Simplified expression: $3x - 6$ - $y$-intercept of $3x - 4y = 1$ is $\left(0, -\frac{1}{4}\right)$ - $x$-intercept of $3x - 4y = 1$ is $\left(\frac{1}{3}, 0\right)$