Question
In Problems 17-54, solve each system of equations. If the system has no solution, say that it is inconsisten $\left\{\begin{array}{l}\frac{1}{2} x+\frac{1}{3} y=3 \\ \frac{1}{4} x-\frac{2}{3} y=-1\end{array}\right.$
Step 1
Multiply every term in the first equation by 6 (the least common multiple of 2 and 3) and every term in the second equation by 12 (the least common multiple of 4 and 3). First equation: \[ 6 \left(\frac{1}{2}x + \frac{1}{3}y\right) = 6 \cdot 3 \] \[ 3x + 2y = Show more…
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