1. \( \quad 16 x-10 y=10 \)

To solve the equation \(16x - 10y = 10\), you can isolate one variable. For instance, if you solve for \(y\), you rearrange it to \(y = \frac{16x - 10}{10}\) or simplified to \(y = 1.6x - 1\). This transformation offers a clear linear function, letting you plot the line in a coordinate system and easily find the slope and y-intercept! Moreover, solving linear equations like this one is crucial in real life! You might find yourself using these setups in budgeting, optimizing production in a business, or even when plotting travel routes—essentially anytime you're balancing two variables. This understanding translates easily into making informed decisions in various daily situations!