\( -4 x+5 y=8 \) and \( 3 x-2 y=1 \)

To solve these equations, let’s find the values of \(x\) and \(y\) through the method of substitution or elimination. By rearranging the first equation to express \(y\) in terms of \(x\), we have \(y = \frac{8 + 4x}{5}\). Substituting this into the second equation can lead us to a single variable equation to solve for \(x\). Alternatively, you could use the elimination method where you multiply the first equation by \(3\) and the second by \(4\) to align the coefficients of \(x\) or \(y\) for easy cancellation. This brings us to a system we can simplify and solve step by step!