1. The problem is to analyze the system of linear equations: $$y = \frac{5}{3}x$$ and $$y = 2x - 1$$ 2. We want to find the point(s) where these two lines intersect, if any. 3. To find the intersection, set the right-hand sides equal since both equal $y$: $$\frac{5}{3}x = 2x - 1$$ 4. Solve for $x$: Multiply both sides by 3 to clear the fraction: $$5x = 6x - 3$$ Subtract $6x$ from both sides: $$5x - 6x = -3$$ $$-x = -3$$ Multiply both sides by $-1$: $$x = 3$$ 5. Substitute $x=3$ back into one of the original equations to find $y$: Using $y = \frac{5}{3}x$: $$y = \frac{5}{3} \times 3 = 5$$ 6. Therefore, the lines intersect at the point $(3, 5)$. 7. This means the solution to the system is $x=3$, $y=5$. This point lies within the given coordinate plane range from -10 to 10 on both axes.