Question
In Problems 17-54, solve each system of equations. If the system has no solution, say that it is inconsisten $\left\{\begin{array}{l}\frac{4}{x}-\frac{3}{y}=0 \\ \frac{6}{x}+\frac{3}{2 y}=2\end{array}\right.$
Step 1
Step 1: Start by simplifying the first equation: \[ \frac{4}{x} - \frac{3}{y} = 0 \] This can be rearranged to: \[ \frac{4}{x} = \frac{3}{y} \] Cross-multiplying gives: \[ 4y = 3x \] We can express \( y \) in terms of \( x \): \[ y = \frac{3x}{4} \] Show more…
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